Rings in which elements are uniquely the sum of an idempotent and a unit that commute

• Autores: Jianlong Chen, Zhou Wang, Yiqiang Zhou
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 213, Nº 2, 2009, págs. 215-223
• Idioma: inglés
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• Resumen

  • A ring is called uniquely clean if every element is uniquely the sum of an idempotent and a unit. The rings described by the title include uniquely clean rings, and they arise as triangular matrix rings over commutative uniquely clean rings. Various basic properties of these rings are proved and many examples are given