Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 2
Algebraic structure of square matrices over residuated lattices
- Pages
- 2216–2237
- DOI
- —
Abstract
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.