On Gorenstein Fiber Products and Applications

Authors

Saeed Nasseh, Georgia Southern UniversityFollow
Ryo Takahashi, Nagoya UniversityFollow
Keller VandeBogert, Georgia Southern UniversityFollow

Document Type

Article

Publication Date

1-30-2017

Publication Title

arXIV.org Repository

Abstract

We show that a non-trivial fiber product S×kT of commutative noetherian local rings S,T with a common residue field k is Gorenstein if and only if it is a hypersurface of dimension 1. In this case, both S and T are regular rings of dimension 1. We also give some applications of this result.

Comments

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Recommended Citation

Nasseh, Saeed, Ryo Takahashi, Keller VandeBogert. 2017. "On Gorenstein Fiber Products and Applications." arXIV.org Repository: 1-6.
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/421