Frontiers of Mathematics in China >
Vanishing of stable homology with respect to a semidualizing module
Received date: 17 Sep 2016
Accepted date: 04 Sep 2017
Published date: 12 Jan 2018
Copyright
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.
Key words： Stable homology; semidualizing module; proper resolution
Li LIANG . Vanishing of stable homology with respect to a semidualizing module[J]. Frontiers of Mathematics in China, 2018 , 13(1) : 107 -127 . DOI: 10.1007/s11464-017-0661-0
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