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Selected Works of Saeed Nasseh
Article
On Gorenstein Fiber Products and Applications
arXIV.org Repository
  • Saeed Nasseh, Georgia Southern University
  • Ryo Takahashi, Nagoya University
  • Keller VandeBogert, Georgia Southern University
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Document Type
Article
Publication Date
1-30-2017
Disciplines
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

This version of the paper was obtained from arXIV.org. In order for the work to be deposited in arXIV.org, the authors must hold the rights or the work must be under Creative Commons Attribution license, Creative Commons Attribution-Noncommercial-ShareAlike license, or Create Commons Public Domain Declaration.

Citation Information
Saeed Nasseh, Ryo Takahashi and Keller VandeBogert. "On Gorenstein Fiber Products and Applications" arXIV.org Repository (2017) p. 1 - 6
Available at: http://works.bepress.com/saeed_nasseh/37/