About: Simplicial commutative ring

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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.

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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. (en)
  • 가환대수학과 호모토피 이론에서, 단체 가환환(單體可換環, 영어: simplicial commutative ring)은 단체 집합의 구조를 갖는 가환환이다. (ko)
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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. (en)
  • 가환대수학과 호모토피 이론에서, 단체 가환환(單體可換環, 영어: simplicial commutative ring)은 단체 집합의 구조를 갖는 가환환이다. (ko)
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  • 단체 가환환 (ko)
  • Simplicial commutative ring (en)
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