integral group ring

integral group ring
целочисленное групповое кольцо

lower guide-vane ring — нижнее кольцо направляющего аппарата

diagonally-cut piston ring — поршневое кольцо с косым замком

step-out piston ring — поршневое кольцо с замком внахлестку

runner wearing ring — уплотнительное кольцо рабочего колеса

runner sealing ring — уплотнительное кольцо рабочего колеса

English-Russian big polytechnic dictionary. 2014.

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  • Group ring — This page discusses the algebraic group ring of a discrete group; for the case of a topological group see group algebra, and for a general group see Group Hopf algebra. In algebra, a group ring is a free module and at the same time a ring,… …   Wikipedia

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  • Group cohomology — This article is about homology and cohomology of a group. For homology or cohomology groups of a space or other object, see Homology (mathematics). In abstract algebra, homological algebra, algebraic topology and algebraic number theory, as well… …   Wikipedia

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  • Integral element — In commutative algebra, an element b of a commutative ring B is said to be integral over its subring A if there are such that That is to say, b is a root of a monic polynomial over A.[1] If B consists of elements that are integral over A, then B… …   Wikipedia

  • Ring extension — In mathematics, more specifically in ring theory, a ring extension or extension ring is a ring R with a subring S . We write R / S and say R is a ring extension of S Given an extension R / S of commutative rings and a prime ideal P of R , it… …   Wikipedia

  • Domain (ring theory) — In mathematics, especially in the area of abstract algebra known as ring theory, a domain is a ring such that ab = 0 implies that either a = 0 or b = 0.[1] That is, it is a ring which has no left or right zero divisors. (Sometimes such a ring is… …   Wikipedia

  • Formal group — In mathematics, a formal group law is (roughly speaking) a formal power series behaving as if it were the product of a Lie group. They were first defined in 1946 by S. Bochner. The term formal group sometimes means the same as formal group law,… …   Wikipedia

  • Order (ring theory) — In mathematics, an order in the sense of ring theory is a subring of a ring R that satisfies the conditions R is a ring which is a finite dimensional algebra over the rational number field spans R over , so that …   Wikipedia

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