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Vanishing of stable homology with respect to a semidualizing module |
Li LIANG( ) |
| School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China |
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Abstract We investigate stable homology of modules over a commutative noetherian ring R with respect to a semidualzing module C, and give some vanishing results that improve/extend the known results. As a consequence, we show that the balance of the theory forces C to be trivial and R to be Gorenstein.
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| Keywords
Stable homology
semidualizing module
proper resolution
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Corresponding Author(s):
Li LIANG
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Issue Date: 12 January 2018
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