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Semiring identities of the Brandt monoid

Group Theory 2021-03-11 v1

Abstract

The 6-element Brandt monoid B21B_2^1 admits a unique addition under which it becomes an additively idempotent semiring. We show that this addition is a term operation of B21B_2^1 as an inverse semigroup. As a consequence, we exhibit an easy proof that the semiring identities of B21B_2^1 are not finitely based.

Keywords

Cite

@article{arxiv.2103.06077,
  title  = {Semiring identities of the Brandt monoid},
  author = {Mikhail Volkov},
  journal= {arXiv preprint arXiv:2103.06077},
  year   = {2021}
}

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6 pages