Properties of products for flatness in the category of $S$-posets | ||
| Categories and General Algebraic Structures with Applications | ||
| مقاله 6، دوره 5، شماره 1، مهر 2016، صفحه 131-152 اصل مقاله (219.41 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Roghaieh Khosravi1؛ Mojtaba Sedaghatjoo2 | ||
| 1Department of Mathematics, Fasa University, Fasa, Iran. | ||
| 2Department of Mathematics, College of Science, Persian Gulf University, Bushehr, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Product؛ pomonoid؛ $S$-poset؛ Flat؛ Condition$(WP)$؛ Condition $(PWP)$ | ||
| مراجع | ||
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