Advertizing finite commutative semigroups
Abstract
Finite commutative semigroups $S$ (akin to the better known group case) have a neat structure as well. Apart from a trimmed proof of the general framework, the structural details of many concrete f.c. semigroups $S$ are unraveled. They come in two types. First, the subtle multiplicative semigroups $(Z_n,\bullet)$ (as opposed to their bland siblings $(Z_n,+)$). Second, semigroups defined by generators and relations. Altogether six open questions stimulate further research.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2024
- DOI:
- 10.48550/arXiv.2408.09471
- arXiv:
- arXiv:2408.09471
- Bibcode:
- 2024arXiv240809471W
- Keywords:
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- Mathematics - Group Theory;
- Mathematics - Commutative Algebra
- E-Print:
- 48 pages, 9 figures