Supercommutative algebra

（重定向自Supercommutative）

In mathematics, a supercommutative algebra is a superalgebra (i.e. a Z₂-graded algebra) such that for any two homogeneous elements x, y we have

Equivalently, it is a superalgebra where the supercommutator

always vanishes. Algebraic structures which supercommute in the above sense are sometimes referred to as skew-commutative associative algebras to emphasize the anti-commutation, or, to emphasize the grading, graded-commutative or, if the supercommutativity is understood, simply commutative.

单词	Supercommutative
释义	Supercommutative 英语百科 Supercommutative algebra （重定向自Supercommutative） In mathematics, a supercommutative algebra is a superalgebra (i.e. a Z₂-graded algebra) such that for any two homogeneous elements x, y we have Equivalently, it is a superalgebra where the supercommutator always vanishes. Algebraic structures which supercommute in the above sense are sometimes referred to as skew-commutative associative algebras to emphasize the anti-commutation, or, to emphasize the grading, graded-commutative or, if the supercommutativity is understood, simply commutative.
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