regular ring
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Regular ring — In commutative algebra, a regular ring is a commutative noetherian ring, such that the localization at every maximal ideal is a regular local ring: that is, every such localization has the property that the minimal number of generators of its… … Wikipedia
Von Neumann regular ring — In mathematics, a ring R is von Neumann regular if for every a in R there exists an x in R with : a = axa .One may think of x as a weak inverse of a ; note however that in general x is not uniquely determined by a .(The regular local rings of… … Wikipedia
Regular local ring — In commutative algebra, a regular local ring is a Noetherian local ring having the property that the minimal number of generators of its maximal ideal is exactly the same as its Krull dimension. The minimal number of generators of the maximal… … 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 opening metathesis polymerisation — Ring opening metathesis polymerization (ROMP) is a type of olefin metathesis polymerization that produces industrially important products. The driving force of the reaction is relief of ring strain in cyclic olefins (e.g. norbornene or… … Wikipedia
Regular element — may refer to: * In ring theory, a nonzero element of a ring that is neither a left nor a right zero divisor * A regular element of a Lie algebra … Wikipedia
Regular sequence (algebra) — In commutative algebra, if R is a commutative ring and M an R module, an element r in R is called M regular if r is not a zerodivisor on M , and M/rM is nonzero. An R regular sequence on M is a d tuple: r1, ..., rd in R such that for each i le; d … Wikipedia
Regular representation — In mathematics, and in particular the theory of group representations, the regular representation of a group G is the linear representation afforded by the group action of G on itself. ignificance of the regular representation of a groupTo say… … Wikipedia
Regular chain — In computer algebra, a regular chain is a particular kind of triangular set in a multivariate polynomial ring over a field. It enhances the notion of characteristic set. Introduction Given a linear system, one can convert it to a triangular… … Wikipedia
Regular function — In complex analysis, see holomorphic function. In mathematics, a regular function in the sense of algebraic geometry is an everywhere defined, polynomial function on an algebraic variety V with values in the field K over which V is defined. For… … 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
