Properties of products for flatness in the category of $S$-posets

Categories and General Algebraic Structures with Applications

卷:5

Mojtaba Sedaghatjoo¹  Roghaieh Khosravi² 

[1] Department of Mathematics, College of Science, Persian Gulf University, Bushehr, Iran.;

[2] Department of Mathematics, Fasa University, Fasa, Iran.;

关键词: Product;    pomonoid;    $S$-poset;    Flat;    Condition$(WP)$;    Condition $(PWP)$;   

DOI  :  

来源: DOAJ

【 摘 要 】

This paper is devoted to the study of products of classes of right $S$-posets possessing one of the flatness properties and preservation of such properties under products. Specifically, we characterize a pomonoid $S$ over which its nonempty products as right $S$-posets satisfy some known flatness properties. Generalizing this results, we investigate products of right $S$-posets satisfying Condition $(PWP)$. Finally, we investigate pomonoids over which products of right $S$-posets transfer an arbitrary flatness property, projectivity, freeness, and regularity to their components.

【 授权许可】

Unknown