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The \( (\sim)\)-good congruences on normal ortho-u-monoids. (Chinese. English summary) Zbl 1438.20058

Summary: \( (\sim)\)-good congruences on normal ortho-u-monoids are characterized by means of \( (\sim)\)-good congruence pairs. The results about congruences on normal orthogroups in regular semigroups are generalized to \( (\sim)\)-semiabundant semigroups.

MSC:

20M10 General structure theory for semigroups
20M19 Orthodox semigroups
Full Text: DOI