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- W2810028393 abstract "We prove that if $S$ is an $E$-solid locally inverse semigroup, and $rho$ is an inverse semigroup congruence on $S$ such that the idempotent classes of $rho$ are completely simple semigroups then $S$ is embeddable into a $lambda$-semidirect product of a completely simple semigroup by $S/rho$. Consequently, the $E$-solid locally inverse semigroups turn out to be, up to isomorphism, the regular subsemigroups of $lambda$-semidirect products of completely simple semigroups by inverse semigroups." @default.
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- W2810028393 date "2018-07-03" @default.
- W2810028393 modified "2023-09-27" @default.
- W2810028393 title "$E$-solid locally inverse semigroups" @default.
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