Diagonalizability of idempotent matrices over noncommutative rings

DOI10.1016/S0024-3795(99)00059-2zbMath0944.15010MaRDI QIDQ1965272

Guangtian Song, Xue Jun Guo

Publication date: 27 March 2000

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

zbMATH Keywords

similarity transformationdiagonalizable matrixidempotent matrices over rings

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Canonical forms, reductions, classification (15A21)

Related Items (18)

Rings with fine idempotents ⋮ An introduction to q-central idempotents and q-abelian rings ⋮ The group of commutativity preserving maps on upper triangular matrices over a commutative ring ⋮ Triangular idempotent matrices over a general ring ⋮ Unnamed Item ⋮ A class of formal matrix rings. ⋮ Inner inverses and inner annihilators in rings. ⋮ On unit stable range matrices ⋮ STRONG P-CLEANNESS OF TRIVIAL MORITA CONTEXTS ⋮ Idempotents in ring extensions. ⋮ When is every matrix over a division ring a sum of an idempotent and a nilpotent? ⋮ Matrices over a commutative ring as sums of three idempotents or three involutions ⋮ Strong cleanness of generalized matrix rings over a local ring. ⋮ Commutators and Anti-Commutators of Idempotents in Rings ⋮ Unnamed Item ⋮ Jacobson pairs and Bott-Duffin decompositions in rings ⋮ On Exchange Hermitian Rings ⋮ Idempotents of 2 × 2 matrix rings over rings of formal power series

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