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Abstract
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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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