Ring-ideal - Factbites
 Factbites
 Where results make sense
About us   |   Why use us?   |   Reviews   |   PR   |   Contact us  

Topic: Ring-ideal


    Note: these results are not from the primary (high quality) database.


Related Topics

In the News (Tue 29 Dec 09)

  
 Ideal (ring theory) - Wikipedia, the free encyclopedia
In ring theory, a branch of abstract algebra, an ideal is a special subset of a ring.
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.
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.
en.wikipedia.org /wiki/Ideal_(ring_theory)

  
 Boolean algebra - Encyclopedia.WorldSearch
This notion of ideal coincides with the notion of ring ideal in the Boolean ring A.
The zero element of this ring coincides with the 0 of the Boolean algebra; the multiplicative identity element of the ring is the 1 of the Boolean algebra.
This ring has the property that a * a = a for all a in A; rings with this property are called Boolean rings.
encyclopedia.worldsearch.com /boolean_algebra.htm

  
 Boolean_ring
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.
Furthermore, a subset of a Boolean ring is a
A map between two Boolean rings is a ring homomorphism if and only if it is a homomorphism of the corresponding Boolean algebras.
en-cyclopedia.com /wiki/Boolean_ring

  
 The Ideal Engagement Ring Tension Set Engagement Settings
Tension set ring settings are manufactured with special alloys by a sophisticated technique which enables the metal to retain it's memory.
Every ring is individually and meticulously crafted using the most advanced technologies, machinery and careful quality control.
Every tension set ring is closely inspected to ensure it meets the high standards.
www.sndgems.com /tensionsetrings.htm

  
 Ideal (ring theory) - Wikipedia, the free encyclopedia
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.
The map p from R to R/I defined by p(a) = a + I is a surjective ring homomorphism (or ring epimorphism) whose kernel is the original ideal I.
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.
en.wikipedia.org /wiki/Ring_ideal   (1382 words)

  
 Finite Rings
Hence the intersection of all prime ideals is also the ideal consisting of all nilpotent elements of a ring; this ideal is called the nil radical of the ring.
An element of a ring that does not lie in any maximal ideal is a unit (by applying Zorn’s lemma; however, this is not required for finite rings or finite dimensional algebras).
The Nilpotency of the Nil radical of a Noetherian Ring.
www.imsc.ernet.in /~kapil/geometry/caag/finite.html   (1382 words)

  
 Math Forum - Ask Dr. Math
In fact, this translates directly into proper ideals of Z. Another point to be kept in mind is that the union of all proper ideals is generally not an ideal.
By definition, L is indeed an ideal, but, if J and K are proper ideals, it does not follow that L is a proper ideal.
We could also, instead of the union of ideals, consider the operation defined as = L, where L is the smallest ideal containing J and K.
mathforum.org /library/drmath/view/65137.html   (1382 words)

  
 Ideal Cut Diamond in Custom 18kt Ring - Bijoux Extraordinaire
Six smaller ideal cut diamonds are channel set along the shoulders of this stately 18kt gold ring.
The six smaller round diamonds set along the shoulders of the ring weigh a total of 0.9 carats and are also ideal cut, F color and VS clarity.
Each component of the ring has to be meticulously crafted and then they must all be brought together as an artistic whole.
www.jewelryexpert.com /CATALOG/Dazzling-Diamonds-Engagement-Ring-dr.htm   (1382 words)

  
 Ideals, Principal ideals, Principal ideal rings and Quotient rings.
Ideals, Principal ideals, Principal ideal rings and Quotient rings.
This means that Z would be a principal ideal ring.
If S is a commutative ring with a 1, then for any a in S we have the ideal ={ra : r
hemsidor.torget.se /users/m/mauritz/math/alg/ideal.htm   (1382 words)

  
 40Sa.htm
Using Theorem 4 these results can be generalised to principal ideal rings and the restriction on the length of the code can be removed.
We use the fact that a ring is a principal ideal ring if and only if it is isomorphic to a direct product of principal ideal domains and Artinian chain rings.
Based on the characterisaion in Theorem 3, we give an algorithm for constructing strong Gröbner bases over a principal ideal ring, generalising thus Buchberger's results to a this type of ring.
www-calfor.lip6.fr /ICPSS/papers/40Sa/40Sa.htm   (1382 words)

  
 Ideal Ring Constitution
The Ideal Ring will not discriminate on the basis of age, color, gender, handicapper status, height, marital status, national origin, political persuasion, race, religion, sexual orientation, veteran status, or weight.
An officer who fails to remain a member in good standing or that fails to do his or her duty as written in the constitution may be removed from office.
The purpose of this organization shall be to encourage comradery and community service and to serve as a forum for information of interest to math students.
www.msu.edu /~ideal/constitution.htm   (1382 words)

  
 Ring ideal : Ideal - Wikipedia, the free encyclopedia
We don't have an article called "Ring ideal : Ideal"
Wait a few minutes, or check the deletion log.
en.wikipedia.org /wiki/Ring_ideal_:_Ideal   (1382 words)

  
 Token Ring/IEEE 802.5
This feature and several reliability features, which are discussed in the section "Fault-Management Mechanisms," later in this chapter, make Token Ring networks ideal for applications in which delay must be predictable and robust network operation is important.
While the information frame is circling the ring, no token is on the network (unless the ring supports early token release), which means that other stations wanting to transmit must wait.
Token Ring and IEEE 802.5 are two principal examples of token-passing networks (FDDI is the other).
www.cisco.com /univercd/cc/td/doc/cisintwk/ito_doc/tokenrng.htm   (1382 words)

  
 orlik-solomon.m2
The matrix m is the given --** linear ** -- presentation map, and R is the target ring.
This is the default -- since it appears to be on the average the fastest."), -- (TT "Strategy => TorusDeformation", "--Iterates the intersection-- between the ideal and a random torus deformation of it.
This -- avoids computing GBs and the improvement can be very dramatic -- for very dense ideals."), -- (TT "Strategy => TorusDeformation2", "--Iterates the intersection-- between the ideal and two random torus deformation of it.
www.math.sunysb.edu /~sorin/m2/orlik-solomon.m2   (1382 words)

  
 High quality Gold Ring Jewelry is guaranteed and we offer the lowest prices on the internet.
All of the gold ring are white color, round-shaped, rated A. High quality gold ring jewelry is guaranteed and we offer the lowest prices on the internet.
Gold Ring 6.0 - 6.5 mm The lengths are 16 inches, 18 inches and 20 inches.
Gold Ring 5.5 - 6.0 mm The lengths are 16 inches, 18 inches and 20 inches.
www.ajewelrygift.com /gold_ring   (1382 words)

  
 monom.m2
In the square free case this is the Stanley-Reisner ideal associated to the Alexander Dual simplicial complex; in the general case this is E. Miller's dual, which is not quite a dual !
www.math.columbia.edu /~psorin/m2/monom.m2   (1382 words)

  
 Errata for the book: Computations in algebraic geometry with Macaulay 2
(3) It also uses the first "r" letters of the alphabet as global variables, where "r" is the number of generators of the ideal "I", so fails if the ideal is in a ring using any of those letters as variables.
(2) It uses "t" as a global variable, so fails if the ideal "I" is in a ring already using "t" as an indeterminate.
This can be implement in Macaulay 2 as follows: ring J == saturate(J + minors(codim J, jacobian J), ideal(a,b,c))
www.math.uiuc.edu /Macaulay2/Book/errata.html   (1382 words)

  
 Aerobie Sprint Flying Ring
Ideal for those that enjoy the incredible Guinness World Distance Record setting performance of Aerobie rings but have a smaller area in which to play.
And that goes for the Sprint Ring - a smaller, lighter version of the original Aerobie Flying Ring.
The Sprint Flying Ring measures 10 inches in diameter.
www.recommendedshopping.com /aerobie_sprint_flying_ring.html   (1382 words)

  
 (quote /,Ring,Ideal)
will be a brand new ring, and its elements will be incompatible with the elements of previously created quotient rings for the same ideal.
Quotient rings are bulky objects, because they contain a Groebner basis for their ideals, so only quotients of
, unless R has a name, or one of the rings R is a quotient ring of has a name.
www.mi.uni-koeln.de /b/Macaulay2/html/108.html   (1382 words)

  
 Singular 2-0-6 Manual: show
In this case the minimal polynomial is displayed, and, for a qring, also the defining ideal.
id may be a ring or a qring.
id may be of type list but the list must not contain a ring.
www.singular.uni-kl.de /Manual/html/sing_424.htm   (1382 words)

  
 Theory Ideal (Isabelle2005: October 2005)
is_ideal I; a ∈ I; b ∈ I ] ==> a + b ∈ I
is_ideal I; a ∈ I ] ==> a * r ∈ I
(ideal_of {a} ⊂ ideal_of {b}) = (b dvd a ∧ ¬ a dvd b)
isabelle.in.tum.de /library/HOL/HOL-Algebra/Ideal.html   (1382 words)

  
 Ideal Cut Diamond Engagement Ring - Bijoux Extraordinaire
The diamonds in this ring are ideal cut with a GIA color grade of D and an IF (internally flawless) clarity grade.
We often make three-stone rings with an 18kt yellow gold band and platinum double-rung setting, but they can also be made in all yellow gold, all white gold or all platinum.
Many mass produced, cast rings with low cost settings have the gemstones all set on the same plane which gives the ring a boxy, flat-top appearance.
www.jewelryexpert.com /catalog/cd4.htm   (1382 words)

  
 programs
(r:=Reg I; Hilbinfo(I,r)); document{quote lastDegree, "lastDegree(M) --for a non-negatively graded module, ring or ideal M of --finite length, this gives the largest integer n such that --M_n is non-zero.
Hilbinfo(I) -- computes Hilbinfo(I,n) where n=Reg I. Since Reg I is -- an upper bound on the postulation number, this is -- guaranteed to give you the correct Hilbert polynomial.
www.ms.uky.edu /~corso/M2/programs   (1382 words)

  
 Ring Theory
In contrast to commutative ring theory, which as we have seen grew from number theory, non-commutative ring theory developed from an idea which, at the time of its discovery, was heralded as a great advance in applied mathematics.
The greatest early contributor to the theory of non-commutative rings was the Scottish mathematician Wedderburn.
However, axioms for rings are not given by Weber and the axiomatic treatment of commutative rings was not developed until the 1920's in the work of Emmy Noether and Krull.
www-groups.dcs.st-and.ac.uk /~history/HistTopics/Ring_theory.html   (1857 words)

  
 Ring theory - InfoSearchPoint.com
In mathematics, ring theory is the study of rings, algebraic structures in which addition and multiplication are defined and have similar properties to those familiar from the integers.
The study of rings originated from the theory of polynomial rings and the theory of algebraic integers.
The theory of commutative rings resembles the theory of numbers in several respects, and various definitions for commutative rings are designed to recover properties known from the integers.
www.infosearchpoint.com /display/Ring_theory   (659 words)

  
 Ring -- the class of all rings
The type Ring is a member of the class Type.
Each ring is also a member of class Type.
Each object of class Ring is called a ring.
www.math.uiuc.edu /Macaulay2/Manual/0037.html   (659 words)

  
 PVC ring binders ideal for screen printing and foil blocking
Add pockets, wallets, dividers and a range of ring mechanisms to produce a unique, professional presentation item.
Most PVC's can be foam padded to produce a luxurious presentation product and is ideal for screen printing and foil blocking.
The material is durable, easy to maintain and very flexible.
www.kspgroup.co.uk /bind2.html   (659 words)

  
 Ring - Ideal for home, professional and leisure use. Vehicle jump-start. . by Ring from eDirectory.co.uk online shop
Ring - Ideal for home, professional and leisure use.
www.edirectory.co.uk /pf/static/880/mi/644/p1500644.html   (659 words)

  
 This research has been supported by KOSEF Research Grant 931-0100-0082. 13A15, 13B25, 13B30. Polynomial ring, prime ideal, localization, Prufer (ResearchIndex)
1 the ideal theory of the Kronecker function ring and the doma..
2 Quotient rings of polynomial rings (context) - Huckaba, Papick - 1980
1 The generalized Kronecker function ring and the ring R (context) - Hinkle, Huckaba - 1977
citeseer.ist.psu.edu /408149.html   (659 words)

Try your search on: Qwika (all wikis)

Factbites
  About us   |   Why use us?   |   Reviews   |   Press   |   Contact us  
Copyright © 2005-2007 www.factbites.com Usage implies agreement with terms.