فهرست مقالات Full element

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  1 - Generalized f-clean rings
  S. Jamshidvand H. Haj Seyyed Javadi N. Vahedian Javaheri
  In this paper, we introduce the new notion of n-f-clean rings as a generalization of f-clean rings. Next, we investigate some properties of such rings. We prove that $M_n(R)$ is n-f-clean for any n-f-clean ring R. We also, get a condition under which the definitions of چکیده کامل

  In this paper, we introduce the new notion of n-f-clean rings as a generalization of f-clean rings. Next, we investigate some properties of such rings. We prove that $M_n(R)$ is n-f-clean for any n-f-clean ring R. We also, get a condition under which the definitions of n-cleanness and n-f-cleanness are equivalent. پرونده مقاله
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  2 - A note on uniquely (nil) clean ring
  Sh. Sahebi M. Jahandar
  A ring R is uniquely (nil) clean in case for any $a \in R$ there exists a uniquelyidempotent $e\in R$ such that $a-e$ is invertible (nilpotent). Let $C =(A VW B)$be the MoritaContext ring. We determine conditions under which the rings $A,B$ are uniquely (nil) clean.More چکیده کامل

  A ring R is uniquely (nil) clean in case for any $a \in R$ there exists a uniquelyidempotent $e\in R$ such that $a-e$ is invertible (nilpotent). Let $C =(A VW B)$be the MoritaContext ring. We determine conditions under which the rings $A,B$ are uniquely (nil) clean.Moreover we show that the center of a uniquely (nil) clean ring is uniquely (nil) clean. پرونده مقاله