Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON GORENSTEIN COTORSION DIMENSION OVER GF-CLOSED RINGS

  • Gao, Zenghui (College of Applied Mathematics Chengdu University of Information Technology)
  • Received : 2013.01.17
  • Published : 2014.01.31
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Abstract

In this article, we introduce and study the Gorenstein cotorsion dimension of modules and rings. It is shown that this dimension has nice properties when the ring in question is left GF-closed. The relations between the Gorenstein cotorsion dimension and other homological dimensions are discussed. Finally, we give some new characterizations of weak Gorenstein global dimension of coherent rings in terms of Gorenstein cotorsion modules.

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References

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