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Keywords:
partially ordered set; connectedness; direct product decomposition; internal direct product decomposition; connected partially ordered set; cancellation
Summary:
In this note we deal with two-factor internal direct product decompositions of a connected partially ordered set.
References:
[1] J. Hashimoto: On direct product decompositions of partially ordered sets. Ann. of Math. 54 (1951), 315-318. DOI 10.2307/1969532 | MR 0043067
[2] J. Jakubík M. Csontóová: Convex isomorphisms of directed multilattices. Math. Boliem. 118 (1993), 359-378. MR 1251882
[3] A. G. Kurosh: Group Thoeory. Third Edition, Moskva, 1967. (In Russian.)
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