subpullbacks and coproducts of $s$-posets
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abstract
in 2001, s. bulman-fleming et al. initiated the study of three flatness properties (weakly kernel flat, principally weakly kernel flat, translation kernel flat) of right acts $a_{s}$ over a monoid $s$ that can be described by means of when the functor $a_{s} otimes -$ preserves pullbacks. in this paper, we extend these results to$s$-posets and present equivalent descriptions of weakly kernel po-flat, principally weakly kernel po-flat and translation kernel po-flat. moreover, we show that most of flatness properties of $s$-posets can be transferred to their coproducts and vice versa.
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Journal title:
categories and general algebraic structures with applicationsPublisher: shahid beheshti university
ISSN 2345-5853
volume 3
issue 1 2015
Keywords
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