Endomorphism Seminear-Rings of Brandt Semigroups
N. D. Gilbert, M. Samman · Communications in Algebra · 2010
We consider the endomorphisms of a Brandt semigroup B n and the semigroup of mappings E(B n ) that they generate under pointwise composition. We describe all the elements of this semigroup, determine Green's relations, consider certain special types of mapping, which we can enumerate for each n, and give complete calculations for the size of E(B n ) for small n.