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
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- 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 correspondingoperations of L. It is shown that the defined algebra behaves like a residuatedlattice, but there are some slight differences. The properties of this algebrawith respect to special residuated lattices are investigated. The notions offilter and ideal together with their roles are specified.