Linear operators strongly preserving \(r\)-potent matrices over semirings

DOI10.1016/0024-3795(92)90394-PzbMath0744.15011WikidataQ127219316 ScholiaQ127219316MaRDI QIDQ1183209

Sang-Gu Lee, Leroy B. Beasley

Publication date: 28 June 1992

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

zbMATH Keywords

semigroupBoolean algebrasimilarity operatorssemiring\(r\)-potent preservingscaling operators

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

On linear operators strongly preserving invariants of Boolean matrices ⋮ On invertible matrices over commutative semirings ⋮ On invertible matrices over antirings ⋮ Chapter 9: miscellaneous preserver problems ⋮ On nilpotent matrices over antirings ⋮ On nilpotency of matrices over antirings ⋮ Linear preservers of zeros of matrix polynomials ⋮ On decompositions of matrices over distributive lattices

Cites Work

• Boolean-rank-preserving operators and Boolean-rank-1 spaces
• Linear maps that preserve matrices annihilated by a polynomial
• Linear operators strongly preserving digraphs whose maximum cycle length
• Linear operators that strongly preserve primitivity