Grothendieck groups for hypersurface rings

Author:
Øyvind Solberg

Journal:
Proc. Amer. Math. Soc. **109** (1990), 943-950

MSC:
Primary 13D15; Secondary 16A54, 18F30, 19A31

DOI:
https://doi.org/10.1090/S0002-9939-1990-1027101-5

MathSciNet review:
1027101

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Abstract: Let and be commutative complete noetherian local Gorenstein domains. If the category of finitely generated maximal Cohen-Macaulay modules over and are stably equivalent and the equivalence commutes with the first syzygy functors, then we show that the Grothendieck groups for and are isomorphic. In particular, we apply this result to hypersurface rings.

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DOI:
https://doi.org/10.1090/S0002-9939-1990-1027101-5

Article copyright:
© Copyright 1990
American Mathematical Society