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- W2171897343 abstract "An orthodox semigroup S is termed quasi-F-orthodox if the greatest inverse semigroup homomorphic image of S 1 is F -inverse. In this paper we show that each quasi- F -orthodox semigroup is embeddable into a semidirect product of a band by a group. Furthermore, we present a subclass in the class of quasi- F -orthodox semigroups whose members S are embeddable into a semidirect product of a band B by a group in such a way that B belongs to the band variety generated by the band of idempotents in S . In particular, this subclass contains the F -orthodox semigroups and the idempotent pure homomorphic images of the bifree orthodox semigroups." @default.
- W2171897343 created "2016-06-24" @default.
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- W2171897343 date "1995-10-01" @default.
- W2171897343 modified "2023-10-14" @default.
- W2171897343 title "On quasi-F-orthodox semigroups" @default.
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- W2171897343 doi "https://doi.org/10.1017/s0013091500019192" @default.
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