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Maximal Subgroups of Some Classes of Semigroups of Binary Relations

Maximal Subgroups of Some Classes of Semigroups of Binary Relations Four classes of complete semigroups of binary relations are considered. It is proved for the semigroups of these classes that maximal subgroups of these semigroups are groups whose order is not greater than two. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Maximal Subgroups of Some Classes of Semigroups of Binary Relations

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Publisher
de Gruyter
Copyright
© Heldermann Verlag
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.2004.203
Publisher site
See Article on Publisher Site

Abstract

Four classes of complete semigroups of binary relations are considered. It is proved for the semigroups of these classes that maximal subgroups of these semigroups are groups whose order is not greater than two.

Journal

Georgian Mathematical Journal – de Gruyter

Published: Jun 1, 2004

Keywords: Semigroup; maximal semigroup; complete semigroup; binary relation; idempotent element

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