Comprehensive classification of the algebra generated by two idempotent matrices

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dc.contributor.authorBiswas, R.
dc.contributor.authorRoy, F.
dc.date.accessioned2026-02-03T13:20:18Z
dc.date.issued2025
dc.description.abstractFor two idempotent matrix P,Q?Cn×n, let alg(I<inf>n</inf>,P,Q) denote the smallest subalgebra of Cn×n that contains P,Q and the identity matrix I<inf>n</inf>. This paper provides a complete classification of alg(I<inf>n</inf>,P,Q) without imposing any restrictions on P and Q. As a result of this classification, the issue of group invertibility within alg(I<inf>n</inf>,P,Q) is fully resolved. © 2024 Elsevier Inc.
dc.identifier.citationLinear Algebra and Its Applications, 2025, 705, , pp. 185-206
dc.identifier.issn243795
dc.identifier.urihttps://doi.org/10.1016/j.laa.2024.11.005
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/20466
dc.publisherElsevier Inc.
dc.subjectComplete classification
dc.subjectFinite-dimensional algebras
dc.subjectGroup inversion
dc.subjectIdempotent matrix
dc.subjectIdentity matrices
dc.subjectInvertibility
dc.subjectMatrix P
dc.subjectSubalgebras
dc.subjectTwo projection
dc.titleComprehensive classification of the algebra generated by two idempotent matrices

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