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      Strongly j-clean skew triangular matrix rings

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      Author
      Kurtulmaz, Y.
      Date
      2016-02-06
      Source Title
      Universitatea "Al. I. Cuza" din Iasi. Analele Stiintifice. Matematica
      Print ISSN
      1221-8421
      Electronic ISSN
      2344-4967
      Publisher
      Universitatea "Alexandru Ioan Cuza" din Iasi * Facultatea de Matematica,"Alexandru Ioan Cuza" University of Iasi, Faculty of Mathematics
      Volume
      1
      Issue
      ahead-of-print
      Pages
      1 - 14
      Language
      English
      Type
      Article
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      Abstract
      Let R be an arbitrary ring with identity. An element a 2 R is strongly J-clean if there exist an idempotent e 2 R and element w 2 J(R) such that a = e + w and ew = ew. A ring R is strongly J-clean in case every element in R is strongly J-clean. In this note, we investigate the strong J-cleanness of the skew triangular matrix ring Tn(R, ) over a local ring R, where is an endomorphism of R and n = 2, 3, 4.
      Keywords
      Strongly J-clean ring
      Skew triangular matrix ring
      Local ring
      15B33
      15B99
      16L99
      Permalink
      http://hdl.handle.net/11693/48355
      Published Version (Please cite this version)
      https://doi.org/10.1515/aicu-2015-0008
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      • Department of Mathematics 614
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