Comprehensive classification of the algebra generated by two idempotent matrices

DOI10.1016/j.laa.2024.11.005MaRDI QIDQ6650596

Rounak Biswas, Falguni Roy

Publication date: 9 December 2024

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

zbMATH Keywords

idempotent matrixfinite-dimensional algebratwo projectionsgroup inversion

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Algebraic systems of matrices (15A30) Canonical forms, reductions, classification (15A21)

Cites Work

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• On certain finite-dimensional algebras generated by two idempotents
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• A gentle guide to the basics of two projections theory
• Algebras generated by idempotents and the symbol calculus for singular integral operators
• Once more on algebras generated by two projections
• Extension theorems for invertibility symbols in Banach algebras
• Extension theorems for Fredholm and invertibility symbols
• Drazin inversion in the von Neumann algebra generated by two orthogonal projections
• Classification of the finite-dimensional algebras generated by two tightly coupled idempotents.
• Pseudo-Inverses in Associative Rings and Semigroups
• Two Subspaces
• Drazin and group invertibility in algebras spanned by two idempotents

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