Study on IC quasi-adequate semigroups with a left regular band
The L* and R* relations are utilized on abundant semigroups to obtain several properties of IC qua-si-adequate semigroups with a left regular band.In particular,a class of self-homomorphisms derived from idempotent elements is studied.A class of good congruences on the semigroup is constructed,simplifying the quotient semigroup to a type-A semigroup.An AGC-system with a semi-direct product structure is formed,pro-viding a general characterization of IC quasi-adequate semigroups with a left regular band,which improves up-on some results in existing literature.
left regular bandabundant semigroupquasi-adequate semigroupIC semigroupgood congru-ence
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