Algebraic structure of square matrices over residuated lattices

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:68 Issue:2
Algebraic structure of square matrices over residuated lattices

Algebraic structure of square matrices over residuated lattices

Authors : Arsham BORUMAND SAEİD, E ESLAMİ, S BALAEİ

Pages : 2216-2237

Doi:10.31801/cfsuasmas.423277

View : 20 | Download : 11

Publication Date : 2019-08-01

Article Type : Research Paper

Abstract :In this paper, we introduce the algebra Mnninsert ignore into journalissuearticles values(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

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