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单词 Superalgebra
释义

superalgebra


A graded algebraMathworldPlanetmath A is said to be a superalgebra if it has a /2 grading.As a vector spaceMathworldPlanetmath, a superalgebra has a decomposition into two homogeneousPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath subspacesMathworldPlanetmathPlanetmath, A=A0A1.The homogeneous subspace A0 is known as the space of even elements of A, and A1 is known as the space of odd elements.Let |a| denote the degree of a homogeneous elementPlanetmathPlanetmath.That is, |a|=0 if aA0 and |a|=1 if aA1.The degree satisfies |ab|=|a|+|b|.

Titlesuperalgebra
Canonical nameSuperalgebra
Date of creation2013-03-22 12:46:18
Last modified on2013-03-22 12:46:18
Ownermhale (572)
Last modified bymhale (572)
Numerical id7
Authormhale (572)
Entry typeDefinition
Classificationmsc 16W55
Synonymsuper algebra
Related topicSupernumber
Related topicSupercommutative
Related topicLieSuperalgebra
Related topicLieSuperalgebra3
Related topicGradedAlgebra
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