Linear maps preserving Drazin inverses of matrices over local rings

DOI10.33044/revuma.1858zbMath1482.15001OpenAlexW3216306600MaRDI QIDQ5029674

Huanyin Chen, Tugce Pekacar Calci, Guo Shile, Sait Halıcıoglu

Publication date: 14 February 2022

Published in: Revista de la Unión Matemática Argentina (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33044/revuma.1858

zbMATH Keywords

Drazin inverselocal ringlinear map

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Linear transformations, semilinear transformations (15A04)

Cites Work

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• Representations for the Drazin inverses of \(2 \times 2\) block matrices
• The Drazin inverse of the sum of two matrices and its applications
• Additive Drazin inverse preservers
• Linear maps preserving idempotence on matrix modules over principal ideal domains
• Additive preservers of Drazin invertible operators with bounded index
• Formulas for the Drazin inverse of matrices with new conditions and its applications
• Linear maps preserving Drazin inverses of matrices over fields
• Linear preservers between matrix modules over connected commutative rings
• Additive idempotence preservers
• Representations for the Drazin inverse of the sum of two matrices and its applications
• The Drazin inverse of the sum of two bounded linear operators and it’s applications
• Generalized Jacobson's lemma for Drazin inverses and its applications

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