Operators that preserve semiring matrix functions

DOI10.1016/0024-3795(88)90132-2zbMath0635.15003OpenAlexW2088480401MaRDI QIDQ1097325

Norman J. Pullman, Leroy B. Beasley

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0024-3795(88)90132-2

zbMATH Keywords

permanentsroot of unitypermutation matrixtranspositionmatrix functionssemiringsimilarity transformationsrook polynomialterm rank

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Linear transformations, semilinear transformations (15A04) Matrices over function rings in one or more variables (15A54)

Related Items (13)

On linear operators strongly preserving invariants of Boolean matrices ⋮ Matrices over semirings ⋮ Linear operators preserving invariants of nonbinary boolean matrices ⋮ \((\alpha ,\beta )\)-intuitionistic fuzzy ideals of hemirings ⋮ Linear preservers of extremes of rank inequalities over semirings: the factor rank ⋮ The characterizations of \(h\)-hemiregular hemirings and \(h\)-intra-hemiregular hemirings. ⋮ Zero-term rank preservers^∗ ⋮ Characterizations of hemirings by \((\in,\in\vee\! q_k)\)-fuzzy ideals. ⋮ On fuzzy \(h\)-ideals in hemirings. ⋮ Generalized fuzzy \(h\)-bi-ideals and \(h\)-quasi-ideals of hemirings. ⋮ The determinant of a fuzzy matrix with respect to \(t\) and co-\(t\) norms ⋮ Iterates of fuzzy circulant matrices ⋮ Term rank preservers of Boolean matrices

Cites Work

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• Linear Transformations on Algebras of Matrices
• Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
• The Permanent Function
• 𝑅-linear endomorphisms of (𝑅)_{𝑛} preserving invariants
• The invariance of elementary symmetric functions
• Trace preserving linear transformations on matrix algebras
• Linear Transformations on Matrices: the Invariance of the Third Elementary Symmetric Function

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