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Topic: Order ideal

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	Ideal (ring theory) - Wikipedia, the free encyclopedia
		An ideal can be used to construct a factor ring in a similar way as a normal subgroup in group theory can be used to construct a factor group.
		The concept of an order ideal in order theory is derived from the notion of ideal in ring theory.
		The sum and the intersection of ideals is again an ideal; with these two operations as join and meet, the set of all ideals of a given ring forms a lattice.
	en.wikipedia.org /wiki/Ideal_(ring_theory) (1343 words)

	Ideal (order theory) - Wikipedia, the free encyclopedia
		Ideals are of great importance for many constructions in order and lattice theory.
		In Stone's representation theorem for Boolean algebras, the maximal ideals (or, equivalently via the negation map, ultrafilters) are used to obtain the set of points of a topological space, whose clopen sets are isomorphic to the original Boolean algebra.
		Ideals were introduced first by Marshall H. Stone, who derived their name from the ring ideals of abstract algebra.
	en.wikipedia.org /wiki/Ideal_(order_theory) (1212 words)

	Ideal (order theory) -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-20)
		Ideals are of great importance for many constructions in order and (Click link for more info and facts about lattice theory) lattice theory.
		Order theory knows many completion procedures, to turn posets into posets with additional (The state of being complete and entire; having everything that is needed) completeness properties.
		Ideals were introduced first by (Click link for more info and facts about Marshall H. Stone) Marshall H. Stone, who derived their name from the ring ideals of abstract algebra.
	www.absoluteastronomy.com /encyclopedia/i/id/ideal_(order_theory).htm (1510 words)

	Ideal Order Theory (Site not responding. Last check: 2007-10-20)
		In the mathematical theory of partial orders, an ideal is a special subset of a partially ordered set.
		While this is the most general way to define an ideal for arbitrary posets, it was originally defined for latticess only.
		An important special case of an ideal is given by those ideals whose set-theoretic complements are filters, i.e.
	www.wikiverse.org /ideal-order-theory (958 words)

	[No title] (Site not responding. Last check: 2007-10-20)
		The initial works of IdEAL ORDER were displayed in the subways and streets of NY City in 1982 and 1983.
		In 1984 IdEAL ORDER Psychic TV began a nightly zapping of the CBS Evening News and the McNeil/Lehrer News Hour and constant telepathic harassment of the Reagan administration during televised news conferences and news show appearances.
		In November 1991 IdEAL ORDER Psychic TV began focussing on a once a week disruption of the CBS Evening News so that skeptical viewers might be able to compare the illuminated with the non-illuminated broadcasts.
	www.vic.com /~dbd/minifaqs/IdEAL.ORDER.faq (1379 words)

	Ideals
		Returns the multiplicator ring of the ideal I of the order O, that is, the subring of elements of the field of fractions of O that multiply I into itself.
		A generator m of the ideal R intersect dI where R is the coefficient ring of the ideal's order and d is the denominator of the ideal I (d is is the second return value).
		The divisor corresponding to the ideal factorization of the ideals I and J belonging to the `finite' and `infinite' maximal order.
	www.math.lsu.edu /magma/text712.htm (1710 words)

	The 7 Orders of Cyberspace: Working Model
		The ideal order is perhaps the most fundamental and least understood of the seven orders.
		The ideal order allows for objects or laws whose existence is non-local and transcends the necessity of specific physical instances (the laws of mathematics or the platonic solids, for example).
		These physical order objects are ultimately subject to the same limitations as the physical order cultural objects, but in their interaction with the electronic order they enable a space of cultural expression and interaction which transcends those limits.
	www.asc.upenn.edu /usr/kfarrall/7orders/7orders.html (1683 words)

	questions on Ideal Poultry - www.ezboard.com (Site not responding. Last check: 2007-10-20)
		I placed an order earlier this month for some chicks, changed my order at least a dozen times since i placed it.
		I just got my last batch from Ideal this past week and although they arrived healthy and no issues to report to them, (only lost one) I probably wont buy from them again due to how many problems they seem to be having.
		Even though I'm getting my orders in through our feed store who ordered them for me, I've talked to them a couple of times on the phone and by email and they are very accommodating and prompt which goes a long way with me with anyone I do business with.
	p072.ezboard.com /fbackyardchickensfrm16.showMessage?topicID=30.topic (1264 words)

	[No title]
		order ideal (prime order ideal, maximal order ideal) of the Boolean algebra.
		The quotient ring of a Boolean ring modulo a ring ideal corresponds to the factor algebra of the corresponding Boolean algebra modulo the corresponding order ideal.
		Since maximal ideals are always prime, we conclude that prime ideals and maximal ideals coincide in Boolean rings.
	en-cyclopedia.com /wiki/Boolean_ring (386 words)

	Orders
		An order can be viewed as a free R-module of rank n where R is its coefficient ring (a polynomial ring or the degree valuation ring of k(x)) and n equals the degree F/k(x).
		The ideal class group of the `finite' maximal order O as an Abelian group and the map from the group of fractional ideals onto the ideal class group.
		A generator of the ideal R intersect (d x a x O) where R is the coefficient ring of O and d is the denominator of a wrt O (d is the second return value).
	www.math.niu.edu /help/math/magmahelp/text708.html (2412 words)

	Ideal Theory of Orders
		The ideal theory of definite orders over Z is highly developed, allowing enumeration of all classes of ideals locally free over an order S, which is assumed to be an Eichler order or for which the index in an Eichler order is of valuation at most 1 at each ramified prime of the algebra.
		Given an ideal I, returns the left order of I, defined as the ring of all elements of the quaternion algebra of I mapping I to itself under left multiplication.
		The 2-sided ideal of S generated by the sequence X of elements in a quaternion algebra or order.
	www.math.lsu.edu /magma/text871.htm (876 words)

	quadratic_ideal (Site not responding. Last check: 2007-10-20)
		It supports basic operations like ideal multiplication as well as more complex operations such as computing the order of an equivalence class in the class group.
		Otherwise the function returns false, and initializes the ideal with the order.
		The ideal is assumed to belong to the most recently accessed quadratic order.
	www.math.psu.edu /local_doc/LiDIA/node89.html (1928 words)

	David Csinsi
		Like the queen we are never able to become our ideal I, she was never again able to become the most beautiful in the realm.
		But the symbol in the eyes of the people of Oz is so ingrained that anyone who exhibits the attributes of a wizard becomes one.
		The symbolic order is then created to describe the thoughts of individuals, and the relationship that the individual has to others, that was established in the mirror stage.
	www.ccs.neu.edu /home/zymergy/writings/products.htm (1652 words)

	IdEAL ORDER Psychic TV
		IdEAL ORDER was founded in 1982 as an outlet for anarchic/artistic activism by Elsie Russell and Jeffrey Harrington.
		In November 1991 IdEAL ORDER Psychic TV began focusing on a once a week disruption of the CBS Evening News so that skeptical viewers might be able to compare the illuminated with the non-illuminated broadcasts.
		I established the Thursday zap of ABC Evening News in order to establish a control - so that people who did not have friends in the broadcast television world could prove to themselves that the process was operative.
	parnasse.com /idealarchive.html (3551 words)

	Ziniewicz on Plato (Brief Reflections)
		Seeing (with one's mind) how things ought to be put together (their ideal proportion) helps one order and arrange one's own life, as well as the life of the city as a whole.
		Every inquiry into the meaning of form and order sharpens the mind's vision of order itself; thus even studying mathematics or geometry or astronomy can make a person wiser about order in his own life and in the city.
		To a lesser extent, Plato's ideal conflicts with the ideal of democracy, which holds that individuals may indeed shape themselves, but that they must find their own places and not be shaped or ordered by authoritarian rulers, no matter how enlightened.
	www.fred.net /tzaka/ethplsum.html (846 words)

	Attributes of Orders and Ideals
		Given a quaternion order or ideal, returns the matrix defining the embedding in its quaternion algebra.
		Together with the reduced discriminant of the order, this serves to classify the local isomorphism class of an Eichler order.
		We note that the printing of order or order elements is in terms of the algebra which contains them, while the coordinates of the basis elements are with respect to the ideal or order elements.
	magma.maths.usyd.edu.au /magma/htmlhelp/text870.htm (208 words)

	Boolean ring (Site not responding. Last check: 2007-10-20)
		The quotient ring of a Boolean ring modulo a ring ideal corresponds to thefactor algebra of the corresponding Boolean algebra modulo the corresponding order ideal.
		The quotient ring R/I of any Boolean ring R modulo any ideal I is again a Boolean ring.Likewise, any subring of a Boolean ring is a Boolean ring.
		Every prime ideal P in a Boolean ring R is maximal: the quotient ring R/P is an integraldomain and at the same time a Boolean ring, so it must be isomorphic to the field F
	www.therfcc.org /boolean-ring-165651.html (401 words)

	CATHOLIC ENCYCLOPEDIA: Plato and Platonism
		The emphatic affirmation of a supermundane, spiritual order of reality and the equally emphatic assertion of the caducity of things material fitted in with the essentially Christian contention that spiritual interests are supreme.
		In order, however, that virtue may be established systematically and cease to be a matter of chance or haphazard, education is necessary, and without a social organization education is impossible.
		It consists of three orders: rulers (corresponding to the reasonable soul), producers (corresponding to desire), and warriors (corresponding to courage).
	www.newadvent.org /cathen/12159a.htm (3013 words)

	The Maseeh Mathematics & Statistics Colloquium Series
		It is of practical interest in quantifying how ordinary likelihood-based inferences, frequency-valid only to first order, are affected by second-order corrections depending on the probability model or the chosen reference set.
		It has been noted that there are two aspects of higher-order corrections to first-order likelihood methods: (i) that involving effects of fitting nuisance parameters and leading to the modified profile likelihood, and (ii) another part pertaining to limitation in adjusted information.
		Although this is a deep issue, we indicate— somewhat surprisingly — that to second order ideal frequency inferences may be based on the distribution of the ordinary signed likelihood ratio statistic, without commonly considered adjustments to this.
	www.mth.pdx.edu /events/colloquium.asp?id=53 (284 words)

	Ideal (order theory)
		In this case, the following equivalent definition can be given: A non-empty subset I of a lattice (P,≤) is an ideal, iff it is a lower set that is closed under finite joins (suprema), i.e., for all x, y in I, we find that xy is also in I.
		The principal ideal p for a principal p is thus given by p = {x in P
		We usually know what we can do, but temptation shows us who we are.
	www.brainyencyclopedia.com /encyclopedia/i/id/ideal__order_theory_.html (1275 words)

	Ideal Karts & Parts - How to Order
		At Ideal Karts and Parts you can be assured that your order is safe and secure.
		You may fax your orders 24 hours a day with all the relevant information, including credit card number and expiry date.
		For International orders, you can order on-line or call (800) 339-5022 or (519) 326-1045.
	www.gokartexpress.com /cgi-bin/webc.cgi/howto.html (185 words)

	ElderWeb:Finance & Care:Technology:Internet:Accessibility:How To Do It:Presentation Order (Site not responding. Last check: 2007-10-20)
		Part of the reason for presenting information in the latter order is that this is the way pages must be structured in order to display the page properly in a table.
		Therefore, the table layout prevents some people from seeing the data on the page at all, and also presents that information in an illogical order for those who use a page reader or screen reader that is able to read it, a double whammy.
		By changing to this presentation order, I can make the site work better for anyone using a screen reader, and I get the added benefit that the pages should fare better in search engines, since the important information in the page is now closer to the top of each page.
	www.elderweb.com /accessibility/default.php?PageID=2933 (806 words)

	Changing Monomial Order (Site not responding. Last check: 2007-10-20)
		The point of the function is that one can change the order on monomials of I to be order.
		When a Gröbner basis of J is needed to be calculated, Magma uses a conversion algorithm starting from a Gröbner basis of I if possible---this usually makes order conversion much more efficient than computing a Gröbner basis of J from scratch.
		which, given a zero-dimensional ideal defined over a field, computes the univariate elimination ideal generator for a particular variable by changing order to the appropriate univariate order.
	www.mat.niu.edu /help/math/magmahelp/text622.html (228 words)

	Customer Support
		The order will be processed through our secure shopping cart and a confirming copy of the order will be sent to the customer via email.
		Once your order has been received through PayPal, a confirming email will be sent, usually within 24 hours.
		Upon completion of your order, you will receive an email message confirming product ordered, including payment option you selected during the checkout process.
	idealimpressions.net /customersupport.html (452 words)

	Pointdev - IDEAL Administration - Order
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	www.pointdev.com /ssl/ia_order.htm (92 words)

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		We guarantee that the course is worth many times the asking price, even if you already have the Paraliminal and Personal Celebration sessions, because the coaching sessions can triple or quadruple the effects of the tapes.
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	www.learningstrategies.com /IdealMindset/Intro7.html (343 words)

	Ideal Lives Advocacy & Inclusion Center - Payment by check or money order (Site not responding. Last check: 2007-10-20)
		Yes, if you choose you can join Ideal Lives and pay with check or money order.
		Make check or money order in the amount of US $129.00 (one-year membership) payable to Lisa Simmons/Ideal Lives.
		Include a note along with your check that states your name, address and e-mail address.
	www.ideallives.com /print.php?a=content&idx=1064 (123 words)

	The music of the spheres
		When writers of the Renaissance speak of the harmony of ideal order and creation, they are not thinking of the terms just as a metaphor.
		This illustration represents one way of ordering the heavens* and earth in musical harmony: the mystic threes begin with God, whose hand is visible at the top, and descend in groups of three as "Diapasons" (harmonic scales) through the spheres to the earth.
		Cosmic order was seen in both music* and dance*.
	ise.uvic.ca /Library/SLT/ideas/scale.html (133 words)

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