Linear operators strongly preserving idempotent matrices over semirings

DOI10.1016/0024-3795(92)90448-JzbMath0744.15010OpenAlexW4205705262MaRDI QIDQ1183140

Norman J. Pullman, Leroy B. Beasley

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0024-3795(92)90448-j

zbMATH Keywords

semigroupHadamard productBoolean algebrasemiringfuzzy matrices\(r\)-potent preservingBoolean zero-one matricesidempotent matrices over semirings

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (20)

Surjective linear transformations of tropical matrices preserving transitive closures ⋮ Linear preservers for matrices over a class of semirings ⋮ On linear operators strongly preserving invariants of Boolean matrices ⋮ Linear operators strongly preservingr-cyclic matrices over semirings ⋮ On invertible matrices over commutative semirings ⋮ Linear operators preserving idempotent matrices over fields ⋮ Maps on infinite triangular matrices preserving idempotents ⋮ Matrices over semirings ⋮ Characterizations of hemirings based on probability spaces ⋮ Zero-term rank and zero-star cover number of symmetric matrices and their linear preservers ⋮ Linear operators preserving invariants of nonbinary boolean matrices ⋮ Primitive symmetric matrices and their preservers ⋮ \((\alpha ,\beta )\)-intuitionistic fuzzy ideals of hemirings ⋮ The characterizations of \(h\)-hemiregular hemirings and \(h\)-intra-hemiregular hemirings. ⋮ Idempotent Boolean matrices and majorization ⋮ Characterizations of hemirings by \((\in,\in\vee\! q_k)\)-fuzzy ideals. ⋮ On fuzzy \(h\)-ideals in hemirings. ⋮ Linear preservers of zeros of matrix polynomials ⋮ Generalized fuzzy \(h\)-bi-ideals and \(h\)-quasi-ideals of hemirings. ⋮ On decompositions of matrices over distributive lattices

Cites Work

• Boolean-rank-preserving operators and Boolean-rank-1 spaces
• Fuzzy rank-preserving operators
• Linear preservers on matrices
• Linear maps that preserve matrices annihilated by a polynomial
• Term-rank, permanent, and rook-polynomial preservers
• Nonnegative rank-preserving operators
• Linear operators that strongly preserve primitivity
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