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On a general form of join matrices associated with incidence functions

✍ Scribed by Ismo Korkee; Pentti Haukkanen

Book ID
105752143
Publisher
Springer
Year
2008
Tongue
English
Weight
766 KB
Volume
75
Category
Article
ISSN
0001-9054

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πŸ“œ SIMILAR VOLUMES

On meet and join matrices associated wit
On meet and join matrices associated with incidence functions
✍ Ismo Korkee; Pentti Haukkanen πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 208 KB

We study recently meet matrices on meet-semilattices as an abstract generalization of greatest common divisor (GCD) matrices. Analogously, in this paper we consider join matrices on lattices as an abstract generalization of least common multiple (LCM) matrices. A formula for the determinant of join

On eigenvalues of meet and join matrices
On eigenvalues of meet and join matrices associated with incidence functions
✍ Pauliina Ilmonen; Pentti Haukkanen; Jorma K. Merikoski πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 166 KB

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