Elementary matrices and products of idempotents

DOI10.1080/03081087.2015.1127885zbMath1358.15010OpenAlexW2279078770MaRDI QIDQ3179154

Alberto Facchini, André Leroy

Publication date: 20 December 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1127885

zbMATH Keywords

invertible matriceselementary matricessingular matricesidempotent elementsproduct decomposition

Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Endomorphism rings; matrix rings (16S50) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (8)

Idempotent factorizations of singular 2 × 2 matrices over quadratic integer rings ⋮ Triangular idempotent matrices over a general ring ⋮ On operators all of which powers have the same trace ⋮ Decomposition of singular elements of an algebra into product of idempotents, a survey ⋮ Idempotents in triangular matrix rings ⋮ Factorizations into idempotent factors of matrices over Prüfer domains ⋮ Regular morphisms in abelian categories ⋮ 𝑈-rings generated by its idempotents

Cites Work

• Euclidean pairs and quasi-Euclidean rings.
• Products of idempotent matrices over integral domains
• Products of idempotents in regular rings. II
• Products of idempotent matrices over Hermite domains
• Products of elementary and idempotent matrices over integral domains
• Modules Whose Endomorphism Rings are Von Neumann Regular
• Products of idempotent integer matrices
• On the Subsemigroups of N
• Direct-sum decompositions of modules with semilocal endomorphism rings
• Decomposition of singular matrices into idempotents
• On products of idempotent matrices

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