
	Where results make sense

Topic: Additive categories

Related Topics

abelian categories

limit category theory

Lists of articles by category

kernel category theory

preadditive categories

product category theory

List of dance style categories

Baire category theorem

dual category theory

additive categories

List of computer and video games by category

In the News (Thu 4 Dec 08)

Goldman Sachs

Delta Air Lines

Saxby Chambliss

Damian Green

Sumner Redstone

Crimson Tide

Tommy Tuberville

Bill Clinton

Wayne Rooney

Vilasrao Deshmukh

	Equivalence of categories - Wikipedia, the free encyclopedia
		One of the central themes of algebraic geometry is the duality of the category of affine schemes and the category of commutative rings.
		In pointless topology the category of spatial locales is known to be equivalent to the dual of the category of sober spaces.
		D is an equivalence of categories, and if C is a preadditive category (or additive category, or abelian category), then D may be turned into a preadditive category (or additive category, or abelian category) in such a way that F becomes an additive functor.
	en.wikipedia.org /wiki/Equivalence_of_categories (1435 words)

	Additive category - Wikipedia, the free encyclopedia
		Every additive category is of course a preadditive category, and many basic properties of these categories are described under that subject.
		But if the categories are additive, then an additive functor can also be characterised as any functor that preserves biproduct diagrams.
		In fact, it is a theorem that all adjoint functors between additive categories must be additive functors, and most interesting functors studied in all of category theory are adjoints.
	en.wikipedia.org /wiki/Additive_category (872 words)

	Preadditive category : Additive functor (Site not responding. Last check: 2007-10-07)
		A preadditive category is a category that is enriched over the monoidal category[?] of abelian groups.
		An additive category is a preadditive category with all finite biproducts.
		A pre-Abelian category is an additive category with all kernels and cokernels.
	www.city-search.org /ad/additive-functor.html (1378 words)

	MATHS: Category Theory
		Category Theory is a way for talking about the relationships between the classes of objects modeled by mathematics and logic.
		A Category is a mixture of an algebra and a directed graph.
		Category theory shows that in most known algebras and logistic systems, there is a way to construct an equivalent.
	www.csci.csusb.edu /dick/maths/math_25_Categories.html (3607 words)

	79.56 Fuel and fuel additive grouping system.
		(3) Fuel additives shall be classified pursuant to §79.56(e) into categories and groups of similar fuels and fuel additives according to the components and characteristics of the respective uncombusted additive/base fuel mixture pursuant to §79.51(h)(1).
		Fuel/additive categories (Table F94-7, rows 1-3) are subdivisions of fuel families which represent the degree to which fuels and fuel additives in the family resemble the base fuel(s) designated for the family.
		One or more group(s) are defined within each category in each fuel family according to the presence of differing characteristics in the fuel or additive/base fuel mixture.
	www.setonresourcecenter.com /cfr/40CFR/P79_035.HTM (4467 words)

	[No title]
		Modules The homological properties of an additive category C are reflected by propert* ies of functors from C to various abelian categories*.
		D be an additive functor between additive categories.
		The quotient Mod Sc=L is an abeli* an Grothendieck category*.
	hopf.math.purdue.edu /KrauseH/quotient.txt (17394 words)

	[No title]
		A model category is called stable if the initial and terminal objects coincide (that is, it is a pointed category) and if the induced suspension functor is in* vertible on the homotopy category*.
		The category UadC is an sAb-model category, and therefore Sp (UadC=S) is an Sp (sAb)-model category.
		A D-model category is a model category M which is also a closed D-module category and where the two conditions from [Ho2, 4.2.18] hold: these are again the analog of SM7 and a un* *it condition.
	hopf.math.purdue.edu /Dugger/spenrich.txt (12833 words)

	Lucian Ionescu's Stuff
		In abelian categories the ideals corresponding to the usual universal objects are principal, and the construction reduces, in a choice dependent way, to homology groups.
		In derived categories the cone of a map is a canonical generator for the corresponding cokernel ideal.
		The ``space-time'' should be reconstructed as a prime spectrum of a category, as part of a ``correspondence principle'', and should not be considered a primary concept.
	www.ilstu.edu /~lmiones/research.htm (1098 words)

	[No title]
		The additive CLIN process allows system recording of additive costs charged by a vendor which are not identified in the original requisition or purchase request.
		Input of an additive CLIN by the buyer creates a system record for the charge and this record will be displayed on system interrogations, hard copy awards and workload reports.
		Additive CLINs may be input at time of award or as a post award action.
	www.dla.mil /dlaps/samms/m4715.1/I/2-e115.doc (1095 words)

	FDA/CFSAN OPA: Recommendations for Submission of Chemical and Technological data for Direct Food Additives and GRAS ...
		Food additives generally fall into two broad categories: (1) those that are added directly to food, as codified in 21 CFR Part 172, and (2) those that are added indirectly to food through contact of the food with packaging materials, processing equipment, or other food-contact materials, as codified in 21 CFR Parts 174-178.
		Briefly, these encompass five general areas of information: (1) the identity of the additive; (2) the proposed use of the additive; (3) the intended technical effect of the additive; (4) a method of analysis for the additive in food; and (5) full reports of all safety investigations with respect to the additive.
		Standard solutions, consisting of the additive, ingredient, or any other analyte of interest, in an appropriate solvent, should be prepared at five different concentrations that bracket the use level or expected concentration of the substance in food and analyzed in triplicate.
	www.cfsan.fda.gov /~dms/opa-cg4.html (4090 words)

	Rasch sensitivity and Thurstone insensitivity to graded responses (Site not responding. Last check: 2007-10-07)
		Because the log-odds transformation is a non-linear transformation of the category probabilities, the log-odds and the probabilities themselves in the Rasch model cannot both be additive simultaneously.
		Because the model is so sensitive to the number of categories, you should work out the number of categories that is really working in the data, and collapse the data into just those the categories.
		Collapsing categories too far is rejected by the model because the model no longer characterizes the actual precision in the data.
	www.rasch.org /rmt/rmt83m.htm (1106 words)

	The Food Additives Business
		First of all, food additives are, after all, chemicals, either synthetic or natural, and therefore, this is a "chemical" study with all its concomitant public and political perceptions and problems.
		Government personnel, because food additives, since they are deliberately incorporated into foods, are watched and regulated by governments at all levels from the local to the federal.
		Direct food additives, i.e., those intentionally added to food, as opposed to chemicals that for example, can migrate into food from packaging materials; the latter are called indirect food additives and are outside our scope.
	www.marketresearch.com /researchindex/802151.html (2259 words)

	GA-040N The Food Additives Business (Site not responding. Last check: 2007-10-07)
		First of all, food additives are chemicals, either synthetic or natural, and therefore this is a “chemical” study, with all its concomitant public and political perceptions and problems.
		Food additives are affected by societal demographic changes, which are especially noticeable in the United States, with the rapid changes which have taken place toward two-breadwinner families, an aging population, increasing influence of different ethnic groups, and other factors.
		Food additives, since they are incorporated deliberately into foods, are watched and regulated by governments at all levels from the local community to the federal government.
	www.bccresearch.com /food/GA040N.html (2325 words)

	Nefato - Journaal december 1998 (Site not responding. Last check: 2007-10-07)
		The newly set up Communications Committee ensures that the issues on which we need to communicate with the outside world are handled in a way which benefits all feed additive categories.
		In addition to intense activities in defense of the use of feed additive antibiotics and the co-ordination of the ongoing surveillance program imposed by the EU since the publication of Directive 97/6, FEFANA was able to ensure a response on issues concerning other specific feed additive substances.
		Category H. Vitamins - elaboration of an explicit lit of substances by the industry, as well as ensuring their methods of analysis are available.
	www.fefana.org /library/991001ar.html (1410 words)

	IOM: Appendix A
		Additives included are those specified in the regulations promulgated under the FDandC Act, under Sections 401 (Food Standards), and 409 (Food Additives).
		For example, in the case of boiler water additives or other minor ingredients, processing aids, or indirect additives, FDA has not objected, in certain cases, to the substitution of ammonium, calcium, magnesium, potassium, or sodium salts for each other when only one is listed in a regulation.
		For all these reasons, take care before advising a firm that a use of a particular food additive is prohibited or otherwise limited.
	www.fda.gov /ora/inspect_ref/iom/APPENDICES/appA1.html (915 words)

	LICS2001 Full Abstraction/Completeness Workshop (Site not responding. Last check: 2007-10-07)
		Partially additive categories were introduced by Manes and Arbib in mid 80's to provide an algebraic semantics for programming languages.
		An extension of these categories, introduced by the author, called unique decomposition categories (UDC) have been very successful in modelling and axiomatising the "particle-style" Geometry of Interaction semantics.
		These models live in the co-Kleisli categories of the linear categories of PERs over suitable Linear (Affine) Combinatory Algebras, which arise in the context of Geometry of Interaction.
	aix1.uottawa.ca /~scpsg/Logic/LICS01 (1124 words)

	The Food Additives Market - Global Trends and Developments (2nd edition)
		One area of the food and drinks market that is often overlooked but which is vitally important to the continued development of the sector is that of food additives.
		A total of 13 additive categories are discussed individually, including the fast developing functional food ingredients sector
		"Health is another major issue impacting the additives industry, with demand for low-fat, low-calorie and functional foods ensuring future development of the fat replacers, hydrocolloids, sweeteners, vitamins and minerals, and other functional food ingredient categories.
	www.marketresearch.com /researchindex/819294.html (702 words)

	Functors on Locally Finitely Presented Additive Categories (ResearchIndex) (Site not responding. Last check: 2007-10-07)
		Abstract: this paper is to study functors which are defined on locally finitely presented categories.
		Given a category C and some property (), there exists a category D (Update)
		6 Representations in abelian categories (context) - Freyd - 1966
	citeseer.ist.psu.edu /96091.html (230 words)

	On the Freyd Categories of an Additive Category (Site not responding. Last check: 2007-10-07)
		$\mathcal B(\C)$, is the reflection of $\C$ in the category of additive categories with cokernels, resp.
		We call $\mathcal A(\C)$ and $\mathcal B(\C)$ the {\em Freyd categories} of $\C$ since the first systematic study of these categories was done by Freyd in the mid-sixties.
		The purpose of the paper is to study further the Freyd categories and to indicate their applications to the module theory of an abelian or triangulated category.
	emis.u-strasbg.fr /journals/HHA/volumes/2000/n11/abstract.htm (134 words)

	Vegetarian Diets, Vegetarian/Vegan Nutrition, Vegetarianism Vegetarian Vitamin Store
		It is a common food additive, which is often used to condition dough or to blend together ingredients that do not normally blend, such as oil and water.
		Our Guide reports it "May be non-vegetarian." Archer Daniels Midland Co., a manufacturer of sodium stearoyl lactylate reports that their product is of vegetable origin; the lactic acid is produced from microbial fermentation and the stearic acid, from soy oil.
		Monoglycerides and diglycerides are common food additives used to blend together certain ingredients, such as oil and water, which would not otherwise blend well.
	www.vegetarianvitamin.com /html/veggie.html (2678 words)

	CATEGORIES OF ADDITIVE FUNCTIONS
		All the additives in the Australian list are fitted into those categories, however some have other actions as well.
		Other actions of additives are described as follows.
		used to alter a food additive (by dissolving, diluting or dispersing etc.), without changing its function, to enable easier use or handling
	www.mbm.net.au /health/categories.htm (615 words)

	Atlas: Intrinsic centrality and associated classifying properties by Dominique Bourn
		The notion of unital category is a special case of pointed category, which allows to characterize Mal'cev categories via the fibration \pi of pointed objects.
		The major examples of unital categories are the categories Mon, CoM, Gp, Ab, Rg of respectively monoids, commutative monoids, groups, abelian groups, rings, and the categories Mag(E), Mon(E), CoM(E), Gp(E), Ab(E), Rg(E) of respectively internal unitary magmas, monoids, commutative monoids, groups, abelian groups, rings in a left exact category E.
		We recalled that any left exact category E could be represented by the fibration \pi of pointed objects all the fibres of which are pointed.
	atlas-conferences.com /cgi-bin/abstract/cajf-46 (577 words)

	[ref] 52 Additive Magmas
		In many cases, the addition is commutative (see IsAdditivelyCommutative), the domain is called an additive magma then; every module (see Modules), vector space (see Vector Spaces), ring (see Rings), or field (see Fields and Division Rings) is an additive magma.
		In the cases of al (near-)additive magma-with-zero or (near-)additive magma-with-inverses, additional additive structure is present (see (Near-)Additive Magma Categories).
		Note that not every trivial additive magma is an additive magma-with-zero, but every trivial additive magma-with-zero is an additive group.
	www.math.niu.edu /help/math/gap4/ref/CHAP052.htm (488 words)

	Types and Dynamics in Partially Additive Categories - Mascari, Pedicini (ResearchIndex) (Site not responding. Last check: 2007-10-07)
		Abstract: this paper can be directly applied in order to give a semantics of reduction for the multiplicative fragment of linear logic: in order to capture larger fragments it should be extended dealing with infinitary objects and more generally, this approach allows to investigate an algebraic theory of computation based on the cut-elimination of proofs.
		...and based on a many objects generalization of semirings: partially additive categories.
		1 A Category of Algorithms (context) - Costantini, Mascari
	citeseer.ist.psu.edu /mascari95types.html (742 words)

	Food Additives and Ingredients Association FAIA - categories of additives
		Food Additives and Ingredients Association FAIA - categories of additives
		A summary bird's eye view of the main additive categories is presented below.
		A more detailed discussion of each can be found in the 'In the Mix' section.
	www.faia.org.uk /categories.php (262 words)

	18-XX
		Categories admitting limits (complete categories), functors preserving limits, completions
		Categories of machines, automata, operative categories [See also 03D05, 68Qxx]
		Categories of topological spaces and continuous mappings [See also 54-XX]
	www.rzuser.uni-heidelberg.de /~d19/msc/akt/18.htm (368 words)

	mhc18.htm (Site not responding. Last check: 2007-10-07)
		Categories admitting limits (complete categories), functors commuting with limits, continuous functors, completions
		Categories of machines, automata, operative categories [See also
		Categories of topological spaces and continuous mappings [See also
	www.cilea.it /nir-it/1999/attiNIR99/marini/mhc18.htm (263 words)

	Holistic Health Encyclopedia - B (Site not responding. Last check: 2007-10-07)
		One of the chief categories of the remedies put forth by Dr. Bach he called the "twelve healers." These remedies are for basic personality types that usually do not change in a given incarnation.
		A pharmacy grade healing clay falls into this category, although in this case the means are achieved artificially.
		This herb has also been used successfully as a cream, salve, wash or bath additive for the treatment of skin problems, including Melanoma, resulting from the action of the betulinic acid occurring naturally in the bark of the tree.
	www.myholistic.com /glossary/B.php3 (10216 words)

	VEHICLE RETROFIT DEVICES AND ADDITIVES
		Consumers in states other than California should refer to the laws of their state.
		It does determine, however, in accordance with standardized procedures, the fuel economy, emissions, safety, etc., performance of vehicle retrofit devices and additives for which fuel economy/emissions improvement claims are made.
		EPA definitions of the various categories of devices and additives are contained later in this report.
	www.bbbsilicon.org /topic178.html (525 words)

	EMIS ELibM: Mathematical Journals
		Topics covered by the journal include additive number theory, multiplicative number theory, sequences and sets, extremal combinatorics, Ramsey theory, elementary number theory, classical combinatorial problems, hypergraphs, and probabilistic number theory.
		Theory and Applications of Categories is the all-electronic, refereed journal on Category Theory, categorical methods and their applications in the mathematical sciences.
		The master copies of the files of this Journal are maintained at Mount Allison University, Sackville, New Brunswick, Canada.
	www.emis.de /journals (4943 words)

Try your search on: Qwika (all wikis)