Extensions of I-Bisimple Semigroups
- 1 January 1967
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 19, 419-426
- https://doi.org/10.4153/cjm-1967-034-1
Abstract
A bisimple semigroup S is called I-bisimple if Es, the set of idempotents of S, with its natural order is order-isomorphic to I, the set of integers, under the reverse of the usual order. In (9), the author completely determined the structure of I-bisimple semigroups mod groups; in this paper, he also gave an isomorphism theorem, a homomorphism theorem, an explicit determination of the maximal group homomorphic image, and a complete determination of the congruences for these semigroups.Keywords
This publication has 3 references indexed in Scilit:
- Regular D-classes whose idempotents obey certain conditionsDuke Mathematical Journal, 1966
- A characterization of certain regular $d$-classes in semigroupsIllinois Journal of Mathematics, 1965
- Extensions of semigroupsTransactions of the American Mathematical Society, 1950