Endomorphism seminear-rings of Brandt semigroups

Nicholas David Gilbert, Mohammad Samman

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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 a complete calculations
for the size of E(B_n) for small n.
Original languageEnglish
Pages (from-to)4028-4041
Number of pages14
JournalCommunications in Algebra
Issue number11
Publication statusPublished - 2010


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