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arXiv · 2405.06594

The homology of completely simple semigroups

Benjamin Steinberg
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Abstract

I explicitly compute the Eilenberg-Mac Lane homology of a completely simple semigroup using topological means. I also complete Gray and Pride's investigation into the homological finiteness properties of completely simple semigroups, as well as studying their topological finiteness properties. I give a topological proof of Pride's unpublished homological lower bound for the deficiency of a monoid or semigroup.

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Benjamin Steinberg. 2024-05-10. The homology of completely simple semigroups. https://arxiv.org/abs/2405.06594

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