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On the divisibility of meet and join matrices

✍ Scribed by Ismo Korkee; Pentti Haukkanen


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
226 KB
Volume
429
Category
Article
ISSN
0024-3795

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Let (P , , ∧) be a locally finite meet semilattice. Let S = {x 1 , x 2 , . . . , x n }, x i x j β‡’ i j, be a finite subset of P and let f be a complex-valued function on P . Then the n Γ— n matrix (S) f , where is called the meet matrix on S with respect to f . The join matrix on S with respect to f

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