Invertibility of matrices over ordered algebraic systems
Copyright policy )Invertibility of matrices over ordered algebraic systems
\textit{L. A. Skornyakov} [Sib. Mat. Zh. 27, No. 2(156), 182-185 (1986; Zbl 0595.15003)] gave a description of invertible matrices over distributive lattices. The author generalizes it to the case of ordered algebraic systems (of ordered groupoids with an upper semilattice structure on them). The systems were considered by \textit{T. S. Blyth} [J. Lond. Math. Soc., III Ser. 39, 427-432 (1964; Zbl 0154.01104)], whose results appear as immediate corollaries of the results presented in the article under review.
Ordered rings, algebras, modules, Algebraic systems of matrices, upper semilattice, Ordered semigroups and monoids, invertible matrix, matrix over an ordered algebraic system, Theory of matrix inversion and generalized inverses, groupoid
Ordered rings, algebras, modules, Algebraic systems of matrices, upper semilattice, Ordered semigroups and monoids, invertible matrix, matrix over an ordered algebraic system, Theory of matrix inversion and generalized inverses, groupoid
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