Green's relations in the matrix semigroup \(M_ n(S)\)

DOI10.1016/0024-3795(93)00276-6zbMath0830.20088OpenAlexW2079366725WikidataQ127809027 ScholiaQ127809027MaRDI QIDQ1894468

Ronghua Zhang, Shang-Jun Yang

Publication date: 24 July 1995

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(93)00276-6

zbMATH Keywords

Green's relationsmatrix semigroupGreen's equivalencesstrong ideal subset

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05) Algebraic systems of matrices (15A30) Mappings of semigroups (20M15)

Related Items (1)

Green’s relation ℋ on the monoid of square matrices over a specific local ring

Cites Work

• Structure of \({\mathcal H}\)-classes in the semigroup of nonnegative matrices
• Eight types of matrix monotonicity
• Unnamed Item

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