Some results on $$\mathcal {L}$$-commutative semigroups
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Abstract We prove first that every $$\mathcal {H}$$ H -commutative semigroup is stable. Using this result [and some results from the standard text (Nagy, Special classes of semigroups, Kluwer, Dordrecht, 2001)], we give two equivalent conditions for a semigroup to be an archimedean $$\mathcal {H}$$ H -commutative semigroup containing an idempotent element. It turns out that this result can be partially extended to $$\mathcal {L}$$ L -commutative semigroups and quasi-commutative semigroups.
1992 ◽
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pp. 133-141
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2008 ◽
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1990 ◽
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