- algebraic ring
- алгебраическое кольцо
Англо-русский словарь по компьютерной безопасности. Академик.ру. 2011.
Англо-русский словарь по компьютерной безопасности. Академик.ру. 2011.
Ring of sets — In mathematics, a nonempty collection of sets mathcal{R} is called a ring (of sets) if it is closed under intersection and symmetric difference. That is, for any A,Binmathcal{R}, #A cap B in mathcal{R} #A riangle B in mathcal{R}where riangle… … Wikipedia
Algebraic combinatorics — is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algebra. It is one of the… … Wikipedia
Algebraic character — is a formal expression attached to a module in representation theory of semisimple Lie algebras that generalizes the character of a finite dimensional representation and is analogous to the Harish Chandra character of the representations of… … Wikipedia
Ring — may refer to: Ring (jewellery), a decorative ornament worn on fingers, toes, or around the arm or neck Contents 1 Computing 2 Entertainment 3 … 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
Algebraic number field — In mathematics, an algebraic number field (or simply number field) F is a finite (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector… … Wikipedia
Algebraic structure — In algebra, a branch of pure mathematics, an algebraic structure consists of one or more sets closed under one or more operations, satisfying some axioms. Abstract algebra is primarily the study of algebraic structures and their properties. The… … Wikipedia
Algebraic K-theory — In mathematics, algebraic K theory is an important part of homological algebra concerned with defining and applying a sequence Kn(R) of functors from rings to abelian groups, for all integers n. For historical reasons, the lower K groups K0 and… … Wikipedia
Algebraic variety — This article is about algebraic varieties. For the term a variety of algebras , and an explanation of the difference between a variety of algebras and an algebraic variety, see variety (universal algebra). The twisted cubic is a projective… … Wikipedia
Algebraic integer — This article deals with the ring of complex numbers integral over Z. For the general notion of algebraic integer, see Integrality .In number theory, an algebraic integer is a complex number which is a root of some monic polynomial (leading… … Wikipedia
Ring theory — In abstract algebra, 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. Ring theory studies the structure of rings, their… … Wikipedia