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nilpotent set

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  • Nilpotent orbit — Nilpotent orbits are generalizations of nilpotent matrices that play an important role in representation theory of real and complex semisimple Lie groups and semisimple Lie algebras. Contents 1 Definition 2 Examples 3 Properties …   Wikipedia

  • Nilpotent Lie algebra — In mathematics, a Lie algebra is nilpotent if the lower central series becomes zero eventually. Equivalently, is nilpotent if …   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

  • Nilpotent cone — In mathematics, the nilpotent cone of a finite dimensional semisimple Lie algebra is the set of elements that act nilpotently in all representations of In other words, The nilpotent cone is an irreducible subvariety of …   Wikipedia

  • Multiplicatively closed set — In abstract algebra, a subset of a ring is said to be multiplicatively closed if it is closed under multiplication (i.e., xy is in the set when x and y are in it) and contains 1 but doesn t contain 0.[1] The condition is especially important in… …   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

  • 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

  • Nilradical of a ring — For more radicals, see radical of a ring. In algebra, the nilradical of a commutative ring is the ideal consisting of the nilpotent elements of the ring. In the non commutative ring case, more care is needed resulting in several related radicals …   Wikipedia

  • List of mathematics articles (N) — NOTOC N N body problem N category N category number N connected space N dimensional sequential move puzzles N dimensional space N huge cardinal N jet N Mahlo cardinal N monoid N player game N set N skeleton N sphere N! conjecture Nabla symbol… …   Wikipedia

  • Lie group — Lie groups …   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

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