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arXiv · 1602.07494

Higher cohomologies of commutative monoids

Maria Calvo-Cervera·Antonio M. Cegarra
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Abstract

Extending Eilenberg-Mac Lane's methods, higher level cohomologies for commutative monoids are introduced and studied. Relationships with pre-existing theories (Leech, Grillet, ...) are stated. The paper includes a cohomological classification for symmetric monoidal groupoids and several computations for cyclic monoids.

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Maria Calvo-Cervera, Antonio M. Cegarra. 2016-02-24. Higher cohomologies of commutative monoids. https://arxiv.org/abs/1602.07494

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