Products And Coproducts Of S-posets

We give an equivalent characterization of generally principally weakly po-flatness in the first part of this thesis, and discuss the direct product of generally princi-pally weakly po-flatness, we also characterize PSF monoids over which generally principally weakly po-flatness properties of s-posets are preserved under products. Secondly, we introduce Condition (WP) and (EP) in S-posets category, and we give some characterizes about its products and coproducts. we also give equivalent characterizes of S-posets which satisfies Condition (PWP), Condition (PWP)_ω are preserved under products and coproducts.