On Rings Whose Elements are the Sum of a Unit and a Root of a Fixed Polynomial

DOI10.1080/00927870701665461zbMath1145.16010OpenAlexW1972702063MaRDI QIDQ5444900

Xiande Yang, Lingling Fan

Publication date: 26 February 2008

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

Full work available at URL: https://doi.org/10.1080/00927870701665461

zbMATH Keywords

unitsidempotentsmatrix ringsgeneralized clean rings\(g(x)\)-clean rings

Mathematics Subject Classification ID

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

Related Items (5)

Topologically boolean and g(x)-clean rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Rings in which elements are the sum of a nilpotent and a root of a fixed polynomial that commute ⋮ Unnamed Item

Cites Work

• Unnamed Item
• When is \(C(X)\) a clean ring?
• Rings which are generated by their units
• Continuous modules are clean.
• Perspectivity and cancellation in regular rings
• Two classes of rings generated by their units
• EXTENSIONS OF CLEAN RINGS
• A CHARACTERIZATION OF UNIT REGULAR RINGS
• Endomorphisms That Are the Sum of a Unit and a Root of a Fixed Polynomial
• Strongly clean rings and fitting's lemma
• Exchange rings, units and idempotents
• Countable linear transformations are clean
• Semiclean Rings
• n-Clean Rings and Weakly Unit Stable Range Rings
• Some Results on Semi-Perfect Group Rings

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