- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 68 Issue: 2
- Algebraic structure of square matrices over residuated lattices
Algebraic structure of square matrices over residuated lattices
Authors : Arsham Borumand Saeid, E Eslami, S Balaei
Pages : 2216-2237
Doi:10.31801/cfsuasmas.423277
View : 7 | Download : 5
Publication Date : 2019-08-01
Article Type : Research
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 are investigated. The notions of filter and ideal together with their roles are specified.Keywords : Residuated lattices, matrices over residuated lattices, operations on matrices, filter, ideal