maximal ring
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Maximal ideal — In mathematics, more specifically in ring theory, a maximal ideal is an ideal which is maximal (with respect to set inclusion) amongst all proper ideals.[1][2] In other words, I is a maximal ideal of a ring R if I is an ideal of R, I ≠ R, and… … Wikipedia
Ring (mathematics) — This article is about algebraic structures. For geometric rings, see Annulus (mathematics). For the set theory concept, see Ring of sets. Polynomials, represented here by curves, form a ring under addition and multiplication. In mathematics, a… … Wikipedia
Ring of integers — In mathematics, the ring of integers is the set of integers making an algebraic structure Z with the operations of integer addition, negation, and multiplication. It is a commutative ring, and is the prototypical such by virtue of satisfying only … Wikipedia
Ring homomorphism — In ring theory or abstract algebra, a ring homomorphism is a function between two rings which respects the operations of addition and multiplication. More precisely, if R and S are rings, then a ring homomorphism is a function f : R → S such that … Wikipedia
Ring-Topologie — Topologien: Ring, Mesh, Stern, vollvermascht; Linie/Reihe, Baum, Bus Die Topologie bezeichnet bei einem Computernetz die Struktur der Verbindungen mehrerer Geräte untereinander, um einen gemeinsamen Datenaustausch zu gewährleisten. Die Topologie… … Deutsch Wikipedia
Ring of mixed characteristic — In commutative algebra, a ring of mixed characteristic is a commutative ring R having characteristic zero and having an ideal I such that R / I has positive characteristic. Examples The integers Z have characteristic zero, but for any prime… … Wikipedia
Maximal common divisor — In abstract algebra, particularly ring theory, maximal common divisors are an abstraction of the number theory concept of greatest common divisor (GCD). This definition is slightly more general than GCDs, and may exist in rings in which GCDs do… … Wikipedia
maximal ideal — Math. an ideal in a ring that is not included in any other ideal except the ring itself. [1960 65] * * * … Universalium
maximal ideal — Math. an ideal in a ring that is not included in any other ideal except the ring itself. [1960 65] … Useful english dictionary
Boolean ring — In mathematics, a Boolean ring R is a ring (with identity) for which x 2 = x for all x in R ; that is, R consists only of idempotent elements.Boolean rings are automatically commutative and of characteristic 2 (see below for proof). A Boolean… … Wikipedia
Glossary of ring theory — Ring theory is the branch of mathematics in which rings are studied: that is, structures supporting both an addition and a multiplication operation. This is a glossary of some terms of the subject. Contents 1 Definition of a ring 2 Types of… … Wikipedia
