대한수학회지 (Journal of the Korean Mathematical Society)

  • 제55권5호
  • /
  • Pages.1143-1156
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  • 2018
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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SINGULAR CLEAN RINGS

  • Amini, Afshin (Department of Mathematics College of Sciences Shiraz University) ;
  • Amini, Babak (Department of Mathematics College of Sciences Shiraz University) ;
  • Nejadzadeh, Afsaneh (Department of Mathematics College of Sciences Shiraz University) ;
  • Sharif, Habib (Department of Mathematics College of Sciences Shiraz University)
  • 투고 : 2017.09.24
  • 심사 : 2018.02.21
  • 발행 : 2018.09.01
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초록

In this paper, we define right singular clean rings as rings in which every element can be written as a sum of a right singular element and an idempotent. Several properties of these rings are investigated. It is shown that for a ring R, being singular clean is not left-right symmetric. Also the relations between (nil) clean rings and right singular clean rings are considered. Some examples of right singular clean rings have been constructed by a given one. Finally, uniquely right singular clean rings and weakly right singular clean rings are also studied.

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참고문헌

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