Inverse semigroups all of whose proper homomorphic images are groups

Publisher: Cambridge University Press

E-ISSN: 1755-1633|69|3|395-401

ISSN: 0004-9727

Source: Bulletin of the Australian Mathematical Society, Vol.69, Iss.3, 2004-06, pp. : 395-401

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Abstract

We characterise those inverse semigroups whose proper(non-isomorphic) homomorphic images are all groups. We also show that the bicyclic semigroup is the only such semigroup in certain cases.