On Condition $(G-PCP)$ of acts over monoids

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran

2 Department of Mathematics, Urmia Branch, Islamic Azad University, Urmia, Iran

10.48308/cgasa.2026.242249.1581

Abstract

By a left $PCP$ (or left $P(P)$) monoid we mean a monoid such that all its principal left ideals satisfy Condition $(P)$ (see \cite{14,24}). In this paper, we generalize formalization of left $PCP$ (left $P(P)$) monoids  to right acts and will give characterizations of monoids by this property of their right acts.
 

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References

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Categories and General Algebraic Structures with Applications

Articles in Press, Accepted Manuscript
Available Online from 11 June 2026

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