Linear matrix transformations that are monotone with respect to the \(\leq^\sharp\)-or \(\leq^{\mathrm{cn}}\)-order

DOI10.1007/s10958-008-9244-7zbMath1157.15303OpenAlexW2078893096MaRDI QIDQ2519212

M. A. Efimov

Publication date: 26 January 2009

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-008-9244-7

zbMATH Keywords

monotonematrix algebralinear transformations

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)

Cites Work

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• Matrix partial orders through generalized inverses: Unified theory
• A further algebraic version of Cochran's theorem and matrix partial orderings
• On group inverses and the sharp order
• Partial orders based on outer inverses
• Some properties of matrix partial orderings
• On the group-inverse of a linear transformation
• Monotone matrix transformations defined by the group inverse and simultaneous diagonalizability
• The natural partial order on a regular semigroup

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