On congruences of regular semigroups with Q-inverse transversals

Wang Li-min · Journal of Lanzhou University · 2007

The paper studied regular semigroups with Q-inverse transversals on the basis of the structure related to the build bricks I and L. We obtained the so-called congruence pair based on Saito's structure theorem, so that it produces a congruence on S abstractly. We also described the inverse semigroup congru- ence and the group congruence and the idempotent-separating congruence on S.

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