English

The endomorphism semiring of a commutative inverse semigroup

Rings and Algebras 2020-09-18 v1

Abstract

The authors [3] proved that the endomorphism semiring of a nontrivial semilattice is always subdirectly irreducible and described its monolith. Here we prove that the endomorphism semiring of a commutative inverse semigroup with at least two idempotents is always subdirectly irreducible and describe its monolith.

Keywords

Cite

@article{arxiv.2009.08179,
  title  = {The endomorphism semiring of a commutative inverse semigroup},
  author = {M. K. Sen and S. K. Maity and Sumanta Das},
  journal= {arXiv preprint arXiv:2009.08179},
  year   = {2020}
}