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Characterization of monoids by condition (P_E)

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In this paper first we recall condition (PE) and then will give general properties and a characterization of monoids for which all right acts satisfy this condition. Finally, we give a characterization of monoids, by comparing this property of their acts with some others.
Title: Characterization of monoids by condition (P_E)
Description:
In this paper first we recall condition (PE) and then will give general properties and a characterization of monoids for which all right acts satisfy this condition.
Finally, we give a characterization of monoids, by comparing this property of their acts with some others.

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