Rank Properties of the Semigroup of Endomorphisms over Brandt semigroup

Abstract

Howie and Ribeiro 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.

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