Graded-commutative ring

id: graded-commutative-ring-321-12298634
title: Graded-commutative ring
text: In algebra, a graded-commutative ring is a graded ring that is commutative in the graded sense; that is, homogeneous elements x, y satisfy where |x | and |y | denote the degrees of x and y. A commutative (non-graded) ring, with trivial grading, is a basic example. For example, an exterior algebra is generally not a commutative ring but is a graded-commutative ring. A cup product on cohomology satisfies the skew-commutative relation; hence, a cohomology ring is graded-commutative. In fact, many e
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original url: https://en.wikipedia.org/wiki/Graded-commutative_ring
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date modified: 2023-10-08T21:07:10Z
main entity: {"identifier":"Q28458059","url":"https://www.wikidata.org/entity/Q28458059"}
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