n-Clean Rings

DOI10.1142/S1005386706000538zbMath1118.16024OpenAlexW2118544783MaRDI QIDQ3421802

Tong Wenting, Guangshi Xiao

Publication date: 8 February 2007

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

Full work available at URL: https://doi.org/10.1142/s1005386706000538

zbMATH Keywords

idempotentsgroup ringspolynomial ringsmatrix ringssums of units\((S\(n\)-clean ringsn)\)-rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Noncommutative local and semilocal rings, perfect rings (16L30) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (2)

Unnamed Item ⋮ Some Ring Structures of Skew Genaralized Power Series Rings

Cites Work

• Perspectivity and cancellation in regular rings
• A taxonomy of 2-primal rings.
• Two classes of rings generated by their units
• Refinements for infinite direct decompositions of algebraic systems
• Exchange rings and decompositions of modules
• EXTENSIONS OF CLEAN RINGS
• UNITS, IDEMPOTENTS, AND STABLE RANGE CONDITIONS
• COMMUTATIVE RINGS WHOSE ELEMENTS ARE A SUM OF A UNIT AND IDEMPOTENT
• Strongly clean rings and fitting's lemma
• Exchange rings, units and idempotents
• Semiclean Rings
• RINGS IN WHICH ELEMENTS ARE UNIQUELY THE SUM OF AN IDEMPOTENT AND A UNIT
• n-Clean Rings and Weakly Unit Stable Range Rings

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