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Inverse semigroups all of whose proper homomorphic images are groups

Published online by Cambridge University Press:  17 April 2009

Ralph P. Tucci
Ralph P. Tucci
Affiliation:
Department of Mathematics and Computer Science, Loyola University New Orleans, New Orleans, LA.70118, United States of America, e-mail: [email protected]
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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 69 , Issue 3 , June 2004 , pp. 395 - 401
Copyright
Copyright © Australian Mathematical Society 2004

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