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nilpotent product

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  • Nilpotent group — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product …   Wikipedia

  • Nilpotent matrix — In linear algebra, a nilpotent matrix is a square matrix N such that for some positive integer k. The smallest such k is sometimes called the degree of N. More generally, a nilpotent transformation is a linear transformation L of a vector space… …   Wikipedia

  • Nilpotent ideal — In mathematics, more specifically ring theory, an ideal, I, of a ring is said to be a nilpotent ideal, if there exists a natural number k such that Ik = 0.[1] By Ik, it is meant the additive subgroup generated by the set of all products of k… …   Wikipedia

  • Tensor product of fields — In abstract algebra, the theory of fields lacks a direct product: the direct product of two fields, considered as a ring is never itself a field. On the other hand it is often required to join two fields K and L, either in cases where K and L are …   Wikipedia

  • Direct product of groups — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product …   Wikipedia

  • T-norm — In mathematics, a t norm (also T norm or, unabbreviated, triangular norm) is a kind of binary operation used in the framework of probabilistic metric spaces and in multi valued logic, specifically in fuzzy logic. A t norm generalizes intersection …   Wikipedia

  • Fitting subgroup — In mathematics, especially in the area of algebra known as group theory, the Fitting subgroup F of a finite group G , named after Hans Fitting, is the unique largest normal nilpotent subgroup of G . Intuitively, it represents the smallest… …   Wikipedia

  • Construction of t-norms — In mathematics, t norms are a special kind of binary operations on the real unit interval [0, 1]. Various constructions of t norms, either by explicit definition or by transformation from previously known functions, provide a plenitude of… …   Wikipedia

  • Lie group — Lie groups …   Wikipedia

  • Semisimple algebra — In ring theory, a semisimple algebra is an associative algebra which has trivial Jacobson radical (that is only the zero element of the algebra is in the Jacobson radical). If the algebra is finite dimensional this is equivalent to saying that it …   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

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