Strongly Gorenstein Flat Dimensions
Received:September 06, 2010  Revised:April 22, 2011
Key Words: strongly Gorenstein flat module   strongly Gorenstein flat dimension   coherent ring   direct product   (almost) excellent extension.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10961021).
Author NameAffiliation
Chun Xia ZHANG Department of Mathematics, Northwest Normal University, Gansu 730070, P. R. China 
Li Min WANG Department of Mathematics, Northwest Normal University, Gansu 730070, P. R. China 
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Abstract:
      This article is concerned with the strongly Gorenstein flat dimensions of modules and rings. We show this dimension has nice properties when the ring is coherent, and extend the well-known Hilbert's syzygy theorem to the strongly Gorenstein flat dimensions of rings. Also, we investigate the strongly Gorenstein flat dimensions of direct products of rings and (almost) excellent extensions of rings.
Citation:
DOI:10.3770/j.issn:1000-341X.2011.06.003
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