Strongly regular matrices revisited

DOI10.1016/j.laa.2022.11.006zbMath1505.15001OpenAlexW4308740091MaRDI QIDQ2104976

Septimiu Crivei, Iulia-Elena Chiru, Gabriela Olteanu

Publication date: 8 December 2022

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

Full work available at URL: https://doi.org/10.1016/j.laa.2022.11.006

zbMATH Keywords

generalized inverselocal ringvon Neumann regular matrixdeterminantal rankcompound matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Rings of fractions and localization for commutative rings (13B30)

Related Items (1)

Matrices having nonzero outer inverses

Uses Software

• GAP

Cites Work

• Generalized inverses over integral domains
• Generalized inverses of matrices over commutative rings
• Exercises in classical ring theory.
• An introduction to group rings
• Von Neumann regular cellular automata
• On generalized inverses of matrices over integral domains
• On Buckhiester's enumeration of \(n \times n\) matrices
• Generalized inverses. Theory and applications.
• The reduced Cayley-Hamilton equation for a pair of commuting matrices
• Regular integers modulo n
• Improving the Cayley-Hamilton Equation for Low-Rank Transformations
• Strongly clean rings and fitting's lemma
• On the Enumeration of Matrices Over Finite Commutative Rings
• Topological Representation of Algebras
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