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Strongly W-Gorenstein modules

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Abstract

Let W be a self-orthogonal class of left R-modules. We introduce a class of modules, which is called strongly W-Gorenstein modules, and give some equivalent characterizations of them. Many important classes of modules are included in these modules. It is proved that the class of strongly W-Gorenstein modules is closed under finite direct sums. We also give some sufficient conditions under which the property of strongly W-Gorenstein module can be inherited by its submodules and quotient modules. As applications, many known results are generalized.

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Authors and Affiliations

  1. Department of Mathematics, Northwest Normal University, China, Lanzhou, 730070

    Husheng Qiao & Zongyang Xie

Authors
  1. Husheng Qiao
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  2. Zongyang Xie
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Correspondence to Husheng Qiao.

Additional information

This research was supported by National Natural Science Foundation of China (10901129, 11261050, 11101197, 11001222), SRFDP (20096203120001), Research Supervisor Program of Education Department of Gansu Province (0801-03), and NWNU-KJCXGC03-51.

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Qiao, H., Xie, Z. Strongly W-Gorenstein modules. Czech Math J 63, 441–449 (2013). https://doi.org/10.1007/s10587-013-0028-y

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  • DOI: https://doi.org/10.1007/s10587-013-0028-y

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