具有CEPGV—逆半群的正则同余与群同余

Regular Congruence and Group Congruence of CEPGV—Inverse Semigroup

主要证明了具有CEPGV—逆半群S,当E为S的幂等元半格时,RC(S)为C(S)的子格;tr:p→trp为S上正则同余格RC(S)到E上同余格C(E)上的完全同态,ρθ=|ρmin,ρmax|。还研究了具有CEPGV—逆半群上的群同余,并证明了ρ→ρv(ρ∈C(S))为S上同余格C(S)到S上群同余格上的同态。

CEPGV--Inverse Semigroup S was Proved, When E was one Idempotent Semilattice of SRC（S） was one Sublattice of C （S） tr： p→trp was Completely Homomorphism from RC （S） to C （E） ρθ = [ ρmin, ρ^max] was proved. Group congruence of CEPGV--Inverse Semigroup was studied, and ρ→ ρ ∨δ （ρ ∈ c （s）） was homomorphism from C （S） to S of group congruence lattic.