Invertibility of matrices over ordered algebraic systems (Q1272002)
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scientific article; zbMATH DE number 1225833
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invertibility of matrices over ordered algebraic systems |
scientific article; zbMATH DE number 1225833 |
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Invertibility of matrices over ordered algebraic systems (English)
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22 November 1998
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\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.
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invertible matrix
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matrix over an ordered algebraic system
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groupoid
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upper semilattice
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