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Cancellation rule for internal direct product decompositions of a connected partially ordered~set - MaRDI portal

Cancellation rule for internal direct product decompositions of a connected partially ordered~set (Q2713677)

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scientific article; zbMATH DE number 1602803
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Cancellation rule for internal direct product decompositions of a connected partially ordered~set
scientific article; zbMATH DE number 1602803

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    10 June 2001
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    partially ordered set
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    connectedness
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    direct product decomposition
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    Cancellation rule for internal direct product decompositions of a connected partially ordered~set (English)
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    The authors establish the cancellation rule for connected partially ordered sets, generalizing thus the result by \textit{J. Hashimoto} [Ann. Math., II. Ser. 54, 315-318 (1951; Zbl 0044.27404)]. They also discuss an analogous question for groups.
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