E-solid locally inverse semigroups.

Autor: DÉKÁNY, TAMÁS, SZENDREI, MÁRIA B., SZITTYAI, ISTVÁN
Předmět:
Zdroj: Acta Scientiarum Mathematicarum; Dec2019, Vol. 85 Issue 3/4, p381-411, 31p
Abstrakt: We prove that if S is an E-solid locally inverse semigroup, and ρ is an inverse semigroup congruence on S such that the idempotent classes of ρ are completely simple semigroups then S is embeddable into a λ-semidirect product of a completely simple semigroup by S/ρ. Consequently, the E-solid locally inverse semigroups turn out to be, up to isomorphism, the regular subsemigroups of λ-semidirect products of completely simple semigroups by inverse semigroups. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index