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$E$-solid locally inverse semigroups. (arXiv:1807.01265v1 [math.GR])
来源于:arXiv
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. 查看全文>>