Some classifications of monoids by strongly idempotent cancellative (PWP)

Articles in Press

Document Type : Research Paper

Authors

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

2 Department of mathematics, University of Sistan and Baluchestan, Zahedan, Iran

Abstract

In this paper, we introduce Condition (PWPsic) of acts over monoids and compare this condition with the properties left PP and left PSF in monoid S. At first we give a classification of monoids by this condition of right acts. Also, we give a classification of monoids for which some other properties of their right acts imply Condition (PWPsic) and vice versa. Then a classification of monoids will be given for which all right Rees factor acts of S satisfying some other flatness properties have Condition (PWPsic).
The specific question of when every right S-act satisfying Condition (PWPsic) has certain flatness properties or every (GPW-flat) GP-flat right S-act satisfies Condition (PWPsic), have so far not been considered. In this paper, we will address these problems.

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References

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Algebraic Structures and Their Applications

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Available Online from 08 February 2025

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