topology of local ring

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• Local ring — In abstract algebra, more particularly in ring theory, local rings are certain rings that are comparatively simple, and serve to describe what is called local behaviour , in the sense of functions defined on varieties or manifolds, or of… …   Wikipedia

• Local — generally means that which relates to a specific area or place, and is not vast or widespread.Local may also refer to:In medicine: * Local refers to a restricted part of the organism; such as a local anesthesiaIn computing: * Locale, a term used… …   Wikipedia

• Local field — In mathematics, a local field is a special type of field that is a locally compact topological field with respect to a non discrete topology.[1] Given such a field, an absolute value can be defined on it. There are two basic types of local field …   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

• Local property — In mathematics, a phenomenon is sometimes said to occur locally if, roughly speaking, it occurs on sufficiently small or arbitrarily small neighborhoods of points. Contents 1 Properties of a single space 1.1 Examples 2 Properties of a pair of… …   Wikipedia

• Local area network — LAN redirects here. For other uses, see LAN (disambiguation). Computer network types by geographical scope Body (BAN) Personal (PAN) Near me (NAN) Local (LAN) Home (HAN) Storage (SAN) Campus (CAN) Backbone Metropolitan (MAN) …   Wikipedia

• Network topology — Diagram of different network topologies. Network topology is the layout pattern of interconnections of the various elements (links, nodes, etc.) of a computer[1][2] …   Wikipedia

• Commutative ring — In ring theory, a branch of abstract algebra, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra. Some specific kinds of commutative rings are given with …   Wikipedia

• Nisnevich topology — In algebraic geometry, the Nisnevich topology, sometimes called the completely decomposed topology, is a Grothendieck topology on the category of schemes which has been used in algebraic K theory, A¹ homotopy theory, and the theory of motives. It …   Wikipedia

• Henselian ring — In mathematics, a Henselian ring (or Hensel ring) is a local ring in which Hensel s lemma holds. They were defined by harvtxt|Azumaya|1951, who named them after Kurt Hensel. Some standard references for Hensel rings are… …   Wikipedia

• Completion (ring theory) — In abstract algebra, a completion is any of several related functors on rings and modules that result in complete topological rings and modules. Completion is similar to localization, and together they are among the most basic tools in analysing… …   Wikipedia