CLEANNESS AND RELATED STRUCTURES IN AMALGAMATED DUPLICATION RINGS

DOI10.1142/S0219498812501046zbMath1284.13006MaRDI QIDQ3144370

Siamak Yassemi, Angelina Yan Mui Chin

Publication date: 7 December 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

clean ringamalgamated duplicationalmost clean ring\(n\)-good ringuniquely clean ring

Mathematics Subject Classification ID

Conditions on elements (16U99) General commutative ring theory (13A99) Commutative ring extensions and related topics (13B99)

Cites Work

• Two classes of rings generated by their units
• Zero-divisor graphs of amalgamated duplication of a ring along an ideal
• Weakly clean rings and almost clean rings
• COMMUTATIVE RINGS WHOSE ELEMENTS ARE A SUM OF A UNIT AND IDEMPOTENT
• AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES
• 2-GOOD RINGS
• Exchange rings, units and idempotents
• Clean Semiprimef-Rings with Bounded Inversion
• RINGS IN WHICH ELEMENTS ARE UNIQUELY THE SUM OF AN IDEMPOTENT AND A UNIT
• n-Clean Rings and Weakly Unit Stable Range Rings
• An Ideal-Theoretic Characterization of the Ring of All Linear Transformations