Strongly J-clean matrices over 2-projective-free rings

An element \(a\) in a ring \(R\) is strongly J-clean if it is the sum of an idempotent and an element in the Jacobson radical that commutes. We characterize the strongly J-clean \(2\times 2\) matrices over 2-projective-free non-commutative rings.

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Bibliographic Details
Published inarXiv.org
Main Authors Marjan Sheibani Abdolyousefi, Chen, Hunyin, Rahman Bahmani Sangesari
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 28.10.2014
Subjects
Rings (mathematics)
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Summary:An element \(a\) in a ring \(R\) is strongly J-clean if it is the sum of an idempotent and an element in the Jacobson radical that commutes. We characterize the strongly J-clean \(2\times 2\) matrices over 2-projective-free non-commutative rings.
ISSN:2331-8422