paper

Rank Properties of the Semigroup of Endomorphisms over Brandt semigroup

arXiv:1708.09111

Abstract

Howie and Ribeiro \cite{a.Howie99,a.Howie00} introduced various ranks, viz. small rank, lower rank, intermediate rank, upper rank and the large rank of a finite semigroup. In this note, we investigate all these ranks of the semigroup of endomorphisms over Brandt semigroup.

To Appear in Semigroup Forum, 2017