A Note on Strongly Clean Matrix Rings

DOI10.1080/00927870802570693zbMath1191.16029OpenAlexW2035865511MaRDI QIDQ3562297

Lingling Fan, Xiande Yang

Publication date: 21 May 2010

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870802570693

zbMATH Keywords

unitsidempotentsgroup ringslocal ringsmatrix ringsstrongly clean rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Group rings (16S34) Noncommutative local and semilocal rings, perfect rings (16L30) Units, groups of units (associative rings and algebras) (16U60)

Related Items (3)

STRONGLY CLEAN MATRICES OVER COMMUTATIVE LOCAL RINGS ⋮ On StronglyJ-Clean Rings ⋮ Certain additive decompositions in a noncommutative ring

Cites Work

• Strong cleanness of the \(2\times 2\) matrix ring over a general local ring.
• Strongly clean matrix rings over local rings.
• Some families of strongly clean rings.
• Strongly clean matrix rings over commutative local rings.
• When is the \(2\times 2\) matrix ring over a commutative local ring strongly clean?
• On two open problems about strongly clean rings
• Strongly clean rings and fitting's lemma
• Local Group Rings

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