Generalized Inflations of Completely Simple Semigroups
Keyword(s):
Clarke and Monzo defined a construction called a generalized inflation of a semigroup, and proved that for unions of groups, all null extensions are generalized inflations. We characterize when a groupoid containing a completely simple semigroup B is an associative generalized inflation of B, and thus provide a way to construct all associative generalized inflations (null extensions) of a given completely simple semigroup. This answers a question posed by Clarke and Monzo.
1985 ◽
Vol 37
(2)
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pp. 271-295
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2004 ◽
Vol 41
(1)
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pp. 39-58
2007 ◽
Vol 40
(1)
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pp. 89-92
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1971 ◽
Vol 23
(3)
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pp. 507-516
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2016 ◽
Vol 09
(03)
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pp. 1650053
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1992 ◽
Vol s2-45
(3)
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pp. 491-507
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Keyword(s):
1994 ◽
Vol 116
(2)
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pp. 325-338
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