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Information Journal Paper

Title

Classification of monoids by Condition (PWPssc) of right acts

Pages

  175-197

Keywords

Condition (PWPssc)Q4

Abstract

 Condition (PWP) which was introduced by Laan is related to the concept of flatness of acts over monoids. Golchin and Mohammadzadeh introduced Condition (PWPE) as a generalization of Condition (PWP). In this paper, we introduce Condition (PWPssc) which is much easier to check than Conditions (PWP) and (PWPE) and does not imply them. Also principally weakly flat is a generalization of this condition. At first, general properties of Condition (PWPssc) will be given. Finally a classification of monoids will be given for which all (cyclic, monocyclic) acts satisfy Condition (PWPssc) and also a classification of monoids S will be given for which all right S-acts satisfying some other flatness properties have Condition (PWPssc).

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    • Cite

    APA: Copy

    Khamechi, Pouyan, MOHAMMADZADEH SAANY, HOSSEIN, & NOURI, LEILA. (2020). Classification of monoids by Condition (PWPssc) of right acts. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, 12(1 ), 175-197. SID. https://sid.ir/paper/255396/en

    Vancouver: Copy

    Khamechi Pouyan, MOHAMMADZADEH SAANY HOSSEIN, NOURI LEILA. Classification of monoids by Condition (PWPssc) of right acts. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS[Internet]. 2020;12(1 ):175-197. Available from: https://sid.ir/paper/255396/en

    IEEE: Copy

    Pouyan Khamechi, HOSSEIN MOHAMMADZADEH SAANY, and LEILA NOURI, “Classification of monoids by Condition (PWPssc) of right acts,” CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, vol. 12, no. 1 , pp. 175–197, 2020, [Online]. Available: https://sid.ir/paper/255396/en

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