Strongly nonfinitely based monoids
Abstract
We show that the 42-element monoid of all partial order preserving and extensive injections on the 4-element chain is not contained in any variety generated by a finitely based finite semigroup.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2023
- DOI:
- arXiv:
- arXiv:2301.12426
- Bibcode:
- 2023arXiv230112426G
- Keywords:
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- Mathematics - Group Theory;
- 20M07
- E-Print:
- 12 pages. In version 2: the proofs of two key lemmas are expanded