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Keywords:
strongly $(P)$-cyclic; right $PCP$; Rees factor act
strongly $(P)$-cyclic; right $PCP$; Rees factor act
Summary:
By a regular act we mean an act such that all its cyclic subacts are projective. In this paper we introduce strong $(P)$-cyclic property of acts over monoids which is an extension of regularity and give a classification of monoids by this property of their right (Rees factor) acts.
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