On f-clean rings and f-clean elements

• Handam, Alí H. ^[1]
  1. [1] Al al-Bayt University

     Al al-Bayt University

     Jordania

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 30, Nº. 2, 2011, págs. 277-284
• Idioma: inglés
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• Resumen

  • An associative ring R with identity is called f-clean ring if every element in R is the sum of an idempotent and a full element. In this paper, various basic properties of f-clean rings and f-clean elements are proved. Also, we give some new charaterizations of f-clean rings. In addition, we prove that the ring of skew Hurwitz series T = (HR, σ) where σ is an automorphism of R is f-clean if and only if R is f-clean.