科研之友
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摘要
In this paper, we investigate the characterizations of pomonoids over which all S-posets are principally weakly flat. It is shown that all S-posets are principally weakly flat if and only if S is a regular pomonoid. This result gives an answer to the problem of Bulman-Fleming, S., D. Gutermuth, A. Gilmour, and M. Kilp, Flatness properties of S-posets, Communications in Algebra 34 (2006), 1291-1317.
