Algebraic structure of square matrices over residuated lattices
In this paper, we introduce the algebra Mnn(L) of square matrices over residuated lattice L. The operations are induced by the corresponding operations of L. It is shown that the defined algebra behaves like a residuated lattice, but there are some slight differences. The properties of this algebra with respect to special residuated lattices areinvestigated. The notions of filter and ideal together with their roles are specified.
Keywords:
Residuated lattices, matrices over residuated lattices operations on matrices, filter, ideal,
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- ISSN: 1303-5991
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 1948
- Yayıncı: Ankara Üniversitesi
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