Abstract
Let $R$ and $S$ be commutative complete noetherian local Gorenstein domains. If the category of finitely generated maximal Cohen-Macaulay modules over $R$ and $S$ are stably equivalent and the equivalence commutes with the first syzygy functors, then we show that the Grothendieck groups for $R$ and $S$ are isomorphic. In particular, we apply this result to hypersurface rings.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
