JOURNAL ARTICLE

Linear operators strongly preservingr-cyclic matrices over semirings

LeRoy B. BeasleySang‐Gu Lee

Year: 1993 Journal:   Linear and Multilinear Algebra Vol: 35 (3-4)Pages: 325-337   Publisher: Taylor & Francis

Abstract

We say that A is an r-cyclic matrix if Ar =I. We investigate the structure of linear operators on matrices over antinegative semirings that map r-cyclic matrices to r-cyclic matrices and non r-cyclic matrices to non r-cyclic matrices.

Keywords:
Mathematics Matrix (chemical analysis) Pure mathematics Combinatorics Algebra over a field Chemistry

Metrics

3
Cited By
0.86
FWCI (Field Weighted Citation Impact)
6
Refs
0.65
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Citation History

Topics

Advanced Topics in Algebra
Physical Sciences →  Mathematics →  Algebra and Number Theory
Matrix Theory and Algorithms
Physical Sciences →  Computer Science →  Computational Theory and Mathematics
Rings, Modules, and Algebras
Physical Sciences →  Mathematics →  Algebra and Number Theory

Related Documents

JOURNAL ARTICLE

Linear operators strongly preserving r-potent matrices over semirings

LeRoy B. BeasleySang‐Gu Lee

Journal:   Linear Algebra and its Applications Year: 1992 Vol: 162-164 Pages: 589-599
JOURNAL ARTICLE

Linear operators strongly preserving idempotent matrices over semirings

LeRoy B. BeasleyNorman J. Pullman

Journal:   Linear Algebra and its Applications Year: 1992 Vol: 160 Pages: 217-229
JOURNAL ARTICLE

Linear Operators Strongly Preserving Polynomial Equations Over Antinegative Semirings

Sang‐Gu Lee

Journal:   Utah State Research and Scholarship (Utah State University) Year: 2021
JOURNAL ARTICLE

On Linear Operators Preserving Orthogonality of Matrices over Fuzzy Semirings

Yizhi ChenJing Tian

Journal:   Zenodo (CERN European Organization for Nuclear Research) Year: 2016
JOURNAL ARTICLE

r -invertible matrices over commutative semirings

Aifa WangChonghua Cheng

Journal:   Linear and Multilinear Algebra Year: 2025 Vol: 73 (14)Pages: 3202-3215
© 2026 ScienceGate Book Chapters — All rights reserved.