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Primitive lattice matrices. (English) Zbl 1057.15021

Summary: Let \(\langle L,\leq,\vee,\wedge\rangle\) be a distributive lattice. A matrix \(A\) over the lattice \(L\) is called a lattice matrix. In this paper, the concepts of primitive lattice matrices are introduced, and some algebraic properties of them are obtained.

MSC:

15B33 Matrices over special rings (quaternions, finite fields, etc.)
06D05 Structure and representation theory of distributive lattices
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