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Subsemigroups of
completely simple semigroups
Anne Antonippillai and Francis Pastijn |
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Vol. 156 (1992), No. 2, 251–263
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Abstract |
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A semigroup which is embeddable into a completely simple semigroup satisfies some weak cancellation laws (C). Conversely, if S is a semigroup which generates a variety which does not contain the variety of left regular bands nor the variety of right regular bands, then S is embeddable into a completely simple semigroup if it satisfies the laws (C). This result is used to characterize the subsemigroups of completely simple semigroups over nilpotent groups of class n. |
Mathematical Subject Classification 2000
Primary: 20M10
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Milestones
Received: 30 May 1991
Revised: 9 September 1991
Published: 1 December 1992
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Authors |
| Anne Antonippillai | |
| Francis Pastijn | |
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