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- W2099043495 abstract "Abstract A common generalization of the author's embedding theorem concerning the E -unitary regular semigroups with regular band of idempotents, and Billhardt's and Ismaeel's embedding theorem on the inverse semigroups, the closure of whose set of idempotents is a Clifford semigroup, is presented. We prove that each orthodox semigroup with a regular band of idempotents, which is an extension of an orthogroup K by a group, can be embedded into a semidirect product of an orthogroup K ′ by a group, where K ′ belongs to the variety of orthogroups generated by K . The proof is based on a criterion of embeddability into a semidirect product of an orthodox semigroup by a group and uses bilocality of orthogroup bivarieties." @default.
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- W2099043495 date "1995-08-01" @default.
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- W2099043495 title "Extensions of regular orthogroups by groups" @default.
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- W2099043495 doi "https://doi.org/10.1017/s1446788700038465" @default.
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