partially ordered set; connectedness; direct product decomposition; internal direct product decomposition; connected partially ordered set; cancellation
In this note we deal with two-factor internal direct product decompositions of a connected partially ordered set.
 J. Jakubík M. Csontóová: Convex isomorphisms of directed multilattices
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 A. G. Kurosh: Group Thoeory. Third Edition, Moskva, 1967. (In Russian.)