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      Rings which are duo on Zhou radical

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      Author(s)
      Ungor, B.
      Harmanci, A.
      Kurtulmaz, Yosum
      Date
      2022-09-02
      Source Title
      São Paulo Journal of Mathematical Sciences
      Print ISSN
      1982-6907
      Electronic ISSN
      2316-9028
      Publisher
      Springer
      Volume
      16
      Issue
      2
      Pages
      871 - 892
      Language
      English
      Type
      Article
      Item Usage Stats
      33
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      Abstract
      In ring theory, duoness and Zhou radical which is known as delta ideal have important roles. In this paper, we consider both concepts together by studying duoness on Zhou radical. By means of this study, we obtain a new kind of generalizations of commutativity. Firstly, we determine Zhou radical of some rings, then Zhou radical is applied to the duo property of rings, so we introduce a notion of right (left) dZr rings. We show that this notion is not left-right symmetric. We investigate some relations between right dZr rings and certain rings, and also deal with some ring extensions in terms of dZr property.
      Keywords
      Delta ideal
      Duo ring
      DZr ring
      Permalink
      http://hdl.handle.net/11693/111207
      Published Version (Please cite this version)
      https://doi.org/10.1007/s40863-022-00323-x
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