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K 0 and rings over which the class of finitely generated strongly gorenstein projective modules is closed under extensions

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In this paper, we consider the rings over which the class of finitely generated strongly Gorenstein projective modules is closed under extensions (called fs-closed rings). We give a characterization about the Grothendieck groups of the category of the finitely generated strongly Gorenstein projective R-modules and the category of the finitely generated R-modules with finite strongly Gorenstein projective dimensions for any left Noetherian fs-closed ring R.

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Authors and Affiliations

  1. Department of Mathematics, Jiangxi Agricultural University, Nanchang, 330045, P.R. China

    Chaoling Huang

  2. Department of Mathematics, Nanjing University, Nanjing, Jiangsu, 210093, P.R. China

    Chaoling Huang

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  1. Chaoling Huang
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Correspondence to Chaoling Huang.

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Huang, C. K 0 and rings over which the class of finitely generated strongly gorenstein projective modules is closed under extensions. Indian J Pure Appl Math 42, 261–277 (2011). https://doi.org/10.1007/s13226-011-0018-4

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  • DOI: https://doi.org/10.1007/s13226-011-0018-4

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