Associativity of the regular semidirect product of existence varieties
2000 ◽
Vol 69
(1)
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pp. 85-115
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Keyword(s):
AbstractThe associativity of the regular semidirect product of existence varieties introduced by Jones and Trotter was proved under certain condition by Reilly and Zhang. Here we estabilsh associativity in many new cases. Moreover, we prove that the regular semidirect product is right distributive with respect to the join operation. In particular, both associativity and right distriutivity yiel within the varieties of completely simple semigroups. Analogous results are obtainedj for e-pseudovarieties of finite regular semigroups.
2013 ◽
Vol 94
(3)
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pp. 397-416
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1997 ◽
Vol 40
(3)
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pp. 457-472
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1973 ◽
Vol 14
(1)
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pp. 27-49
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2004 ◽
Vol 41
(1)
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pp. 39-58
1985 ◽
Vol 38
(3)
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pp. 372-393
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1994 ◽
Vol 115
(2)
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pp. 197-217
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2019 ◽
Vol 29
(08)
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pp. 1383-1407
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1994 ◽
Vol 56
(2)
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pp. 212-231