English

Finite semigroups that are minimal for not being Malcev nilpotent

Group Theory 2014-07-02 v3

Abstract

We give a description of finite semigroups SS that are minimal for not being Malcev nilpotent, i.e. every proper subsemigroup and every proper Rees factor semigroup is Malcev nilpotent but SS is not. For groups this question was considered by Schmidt.

Keywords

Cite

@article{arxiv.1207.1638,
  title  = {Finite semigroups that are minimal for not being Malcev nilpotent},
  author = {E. Jespers and M. H. Shahzamanian},
  journal= {arXiv preprint arXiv:1207.1638},
  year   = {2014}
}

Comments

21 pages

R2 v1 2026-06-21T21:31:53.110Z