On the Drazin inverse of finite potent endomorphisms

DOI10.1080/03081087.2018.1484421zbMath1428.15005OpenAlexW2810132960MaRDI QIDQ5239280

Fernando Pablos Romo

Publication date: 22 October 2019

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

Full work available at URL: https://doi.org/10.1080/03081087.2018.1484421

zbMATH Keywords

Drazin inversefinite potent endomorphism

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

On the coincidence of the Drazin inverse and the Drazin-Moore-Penrose inverses, On G-Drazin inverses of finite potent endomorphisms and arbitrary square matrices, On the explicit computation of the set of 1-inverses of a square matrix, Core-Nilpotent decomposition and new generalized inverses of finite potent endomorphisms, On bounded finite potent operators on arbitrary Hilbert spaces, Drazin-star and star-Drazin inverses of bounded finite potent operators on Hilbert spaces, Core-nilpotent endomorphisms of infinite-dimensional vector spaces, Moore-Penrose Inverse of some Linear Maps on Infinite-Dimensional Vector Spaces, Group inverse of finite potent endomorphisms on arbitrary vector spaces, Drazin-star and star-Drazin matrices, On Drazin-Moore-Penrose inverses of finite potent endomorphisms, Explicit solutions of non-homogeneous difference equations from finite potent endomorphisms

Cites Work

• Determinants of finite potent endomorphisms, symbols and reciprocity laws
• Classification of finite potent endomorphisms
• Pseudo-Inverses in Associative Rings and Semigroups
• On the linearity property of Tate's trace
• The Drazin Inverse of an Infinite Matrix
• On Tate's trace
• A negative answer to the question of the linearity of Tate’s Trace for the sum of two endomorphisms
• Residues of differentials on curves