Products of idempotent matrices over integral domains

DOI10.1016/j.laa.2008.11.018zbMath1165.15016OpenAlexW2119046189MaRDI QIDQ1017629

K. P. S. Bhaskara Rao

Publication date: 12 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.11.018

zbMATH Keywords

Bézout domainEuclidean domainprojective free ringidempotent matrices property

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Principal ideal rings (13F10) Continued fractions (11A55) Euclidean rings and generalizations (13F07)

Related Items (18)

The semigroup generated by the idempotents of a partition monoid. ⋮ The classification of normalizing groups. ⋮ Elementary matrices and products of idempotents ⋮ Idempotent factorizations of singular 2 × 2 matrices over quadratic integer rings ⋮ Triangular idempotent matrices over a general ring ⋮ Euclidean pairs and quasi-Euclidean rings. ⋮ Factorizations of idempotent operator as products of two idempotents ⋮ Defining relations for idempotent generators in finite full transformation semigroups. ⋮ PRINC domains and comaximal factorization domains ⋮ Products of elementary and idempotent matrices over integral domains ⋮ Decomposition of singular matrices into idempotents ⋮ Two generalizations of homogeneity in groups with applications to regular semigroups ⋮ Quasi-permutation singular matrices are products of idempotents ⋮ 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 ⋮ Presentations for singular wreath products ⋮ The Semigroup Generated by the Similarity Class of a Singular Matrix

Cites Work

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• PRODUCTS OF IDEMPOTENT ENDOMORPHISMS OF RELATIVELY FREE ALGEBRAS WITH WEAK EXCHANGE PROPERTIES
• The Euclidean algorithm
• Products of idempotent matrices
• Products of idempotent matrices

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