Group inversion in certain finite-dimensional algebras generated by two idempotents

DOI10.1016/j.indag.2012.08.006zbMath1262.15018OpenAlexW2073428883MaRDI QIDQ692573

Albrecht Böttcher, Ilya M. Spitkovskij

Publication date: 6 December 2012

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2012.08.006

zbMATH Keywords

idempotentsfinite-dimensional algebrasgroup inversionDrazin indextightly coupled idempotents

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Finite rings and finite-dimensional associative algebras (16P10) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Algebraic systems of matrices (15A30) Representations of topological algebras (46H15) Operator algebras with symbol structure (47L15)

Related Items (3)

Drazin and group invertibility in algebras spanned by two idempotents ⋮ Drazin Invertibility in a Certain Finite-Dimensional Algebra Generated by Two Idempotents ⋮ On relationships between two linear subspaces and two orthogonal projectors

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