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On \((m,n)\)-quasi-ideals in LA-semigroups. (English) Zbl 1327.20060

Summary: Within the framework of the theory of \((m,n)\)-quasi-ideals in LA-semigroups, we investigate the relations satisfied by \((m,n)\)-quasi-ideals in regular LA-semigroups.

MSC:

20N02 Sets with a single binary operation (groupoids)
20M12 Ideal theory for semigroups
20M17 Regular semigroups