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Cohomology of monoids with operators

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Abstract

This paper is dedicated to introducing and studying a cohomology theory for monoids enriched with the action by endomorphisms of a fixed monoid of operators. This equivariant cohomology theory extends both Whitehead’s cohomology for groups with operators and Leech’s cohomology for monoids.

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Authors and Affiliations

  1. Department of Algebra, University of Granada, 18071, Granada, Spain

    A. M. Cegarra

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  1. A. M. Cegarra
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Correspondence to A. M. Cegarra.

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Communicated by Mark V. Lawson.

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Cegarra, A.M. Cohomology of monoids with operators. Semigroup Forum 99, 67–105 (2019). https://doi.org/10.1007/s00233-018-9991-9

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  • DOI: https://doi.org/10.1007/s00233-018-9991-9

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