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About: Simplicial commutative ring     Goto   Sponge   NotDistinct   Permalink

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In algebra, a simplicial commutative ring is a commutative monoid in the category of simplicial abelian groups, or, equivalently, a simplicial object in the category of commutative rings. If A is a simplicial commutative ring, then it can be shown that is a ring and are modules over that ring (in fact, is a graded ring over .) A topology-counterpart of this notion is a commutative ring spectrum.