Khosravi, R., Sedaghatjoo, M. (2016). Properties of products for flatness in the category of $S$-posets. Categories and General Algebraic Structures with Applications, 5(1), 131-152.
Roghaieh Khosravi; Mojtaba Sedaghatjoo. "Properties of products for flatness in the category of $S$-posets". Categories and General Algebraic Structures with Applications, 5, 1, 2016, 131-152.
Khosravi, R., Sedaghatjoo, M. (2016). 'Properties of products for flatness in the category of $S$-posets', Categories and General Algebraic Structures with Applications, 5(1), pp. 131-152.
Khosravi, R., Sedaghatjoo, M. Properties of products for flatness in the category of $S$-posets. Categories and General Algebraic Structures with Applications, 2016; 5(1): 131-152.
Properties of products for flatness in the category of $S$-posets
1Department of Mathematics, Fasa University, Fasa, Iran.
2Department of Mathematics, College of Science, Persian Gulf University, Bushehr, Iran.
Abstract
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.
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