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Some properties of row-adjusted meet and join matrices

✍ Scribed by Mattila, Mika; Haukkanen, Pentti

Book ID: 115486916
Publisher: Taylor and Francis Group
Year: 2012
Tongue: English
Weight: 161 KB
Volume: 60
Category: Article
ISSN: 0308-1087
DOI: 10.1080/03081087.2012.658572

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Let (P , , ∧) be a locally finite meet semilattice. Let S = {x 1 , x 2 , . . . , x n }, x i x j ⇒ i j, be a finite subset of P and let f be a complex-valued function on P . Then the n × 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