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Gorenstein FI-Flat Dimension and Tate Homology

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Abstract

In this paper, we are concerned with Tate homology \(\widehat {\text {tor}}\) of modules of finite Gorenstein FI-flat dimension. We determine connections between Tate, relative and absolute homology. Furthermore, we discuss Tate homology \(\widehat {\text {tor}}\) of a FI-cotorsion modules of finite Gorenstein FI-flat dimension over right coherent rings.

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Acknowledgments

The authors would like to thank the referees for a careful reading of the paper and for many useful comments and suggestions, which improved the presentation of the paper. The first author was partially supported by University Grants Commission, grant No. 41-773/2012 (SR), New Delhi, INDIA.

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Authors and Affiliations

  1. Department of Mathematics, Periyar University, Salem, 636 011, TN, India

    Chelliah Selvaraj

  2. Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam, 638 401, TN, India

    Vasudevan Biju & Ramalingam Udhayakumar

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  1. Chelliah Selvaraj
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  2. Vasudevan Biju
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  3. Ramalingam Udhayakumar
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Correspondence to Chelliah Selvaraj.

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Selvaraj, C., Biju, V. & Udhayakumar, R. Gorenstein FI-Flat Dimension and Tate Homology. Vietnam J. Math. 44, 679–695 (2016). https://doi.org/10.1007/s10013-016-0188-9

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  • DOI: https://doi.org/10.1007/s10013-016-0188-9

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