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On the Finiteness of Noetherian Rings with Finitely Many Regular Elements

Akbari, S

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  1. Type of Document: Article
  2. DOI: 10.1080/00927872.2013.765009
  3. Abstract:
  4. Let R be a left Noetherian ring and ZD(R) be the set of all zero-divisors of R. In this paper, it is shown that if RZD(R) is finite, then R is finite
  5. Keywords:
  6. Noetherian ring ; Regular element
  7. Source: Communications in Algebra ; Vol. 42, issue. 7 , 2014 , pp. 2869-2870 ; ISSN: 00927872
  8. URL: http://www.tandfonline.com/doi/abs/10.1080/00927872.2013.765009#.VeFHen3cDcs