J Austral Math Soc Ser A 58 pp100--125, 1995.

On Existence Varieties of Orthodox Semigroups

J. Doyle

(Received 4 April 1991; revised 24 March 1992)

Abstract

An existence variety of regular semigroups is a class of regular semigroups which is closed under the operations of forming all holomorphic images, all regular subsemigroups and all direct products. In this paper we generaliza results on varieties of inverse semigroups to existence varieties of orthodox semigroups.

1991 AMS Subject Classification: 20M07, 20M17

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Authors

J. Doyle: Department of Mathematics, Monash University, Clayton, Bic. 3168, Australia.

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Last Modified: Thu Jan 9 9:04:23 2003