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Semidirect Products and Wreath Products of Strongly ॠ -Inverse Monoids

Semidirect Products and Wreath Products of Strongly ॠ -Inverse Monoids In this paper we determine the necessary and sufficient conditions for the semidirect products and the wreath products of two monoids to be strongly ॠ -inverse. Furthermore, we determine the least group congruence on a strongly ॠ -inverse monoid, and we give some important isomorphism theorems. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Semidirect Products and Wreath Products of Strongly ॠ -Inverse Monoids

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References (5)

Publisher
de Gruyter
Copyright
© 1996 Plenum Publishing Corporation
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.1996.293
Publisher site
See Article on Publisher Site

Abstract

In this paper we determine the necessary and sufficient conditions for the semidirect products and the wreath products of two monoids to be strongly ॠ -inverse. Furthermore, we determine the least group congruence on a strongly ॠ -inverse monoid, and we give some important isomorphism theorems.

Journal

Georgian Mathematical Journal – de Gruyter

Published: Jun 1, 1996

Keywords: Wreath product; ॠ -inverse monoid; regular monoid; group congruence

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