Finding Maximal Independent Elements of Products of Partial Orders (The Case of Chains)
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DOI: 10.1007/s10598-019-09429-y
Abstract: We consider one of the central intractable problems of logical data analysis – finding maximal independent elements of partial orders (dualization of a product of partial orders). An important particular case is considered with each… read more here.
Keywords: maximal independent; independent elements; problem; finding maximal ... See more keywords
Partial Orders Based on the CS Decomposition
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DOI: 10.1007/s11253-020-01851-5
Abstract: A new decomposition for square matrices is constructed by using two known matrix decompositions. A new characterization of the core-EP order is obtained by using this new matrix decomposition. We also use this matrix decomposition… read more here.
Keywords: partial orders; based decomposition; decomposition; orders based ... See more keywords
Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes
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DOI: 10.1016/j.aim.2021.107688
Abstract: Let $G$ be a reductive group over an algebraically closed field and let $W$ be its Weyl group. In a series of papers, Lusztig introduced a map from the set $[W]$ of conjugacy classes of… read more here.
Keywords: weyl group; orders conjugacy; partial orders; conjugacy classes ... See more keywords
Weak differences, weak BCK-algebras and applications to some partial orders on rings
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DOI: 10.1515/ms-2025-0020
Abstract: Abstract This article introduces a weak difference on a poset as a generalization of a difference on a poset and deals with connections between weak differences and weak BCK-algebras. In particular, conditions under which a… read more here.
Keywords: differences weak; bck algebras; weak bck; partial orders ... See more keywords