Saeid, Arsham BorumandEslami, E.Balaei, S.2021-11-092021-11-092019-08-01https://doi.org/10.31801/cfsuasmas.423277http://hdl.handle.net/20.500.12575/75957In 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.enResiduated latticesMatrices over residuated latticesOperations on matricesAlgebraic structure of square matrices over residuated latticesArticle682221622372618-6470