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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

VANISHING OF TOR OVER FIBER PRODUCTS

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Author(s):
Freitas, T. H. [1] ; Jorge Perez, V. H. [2] ; Wiegand, R. [3] ; Wiegand, S. [3]
Total Authors: 4
Affiliation:
[1] Univ Tecnol Fed Parana, Dept Matemat, BR-85053525 Guarapuava, PR - Brazil
[2] Univ Sao Paulo, ICMC, Dept Matemat, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
[3] Univ Nebraska, Dept Math, Lincoln, NE 68588 - USA
Total Affiliations: 3
Document type: Journal article
Source: Proceedings of the American Mathematical Society; v. 149, n. 5, p. 1817-1825, MAY 2021.
Web of Science Citations: 0
Abstract

Let (S, m, k) and (T, n, k) be local rings, and let R denote their fiber product over their common residue field k. Inspired by work of Nasseh and Sather-Wagstaff, we explore consequences of the vanishing of Tor(m)(R) (M, N) for various values of m, where M and N are finitely generated R-modules. (AU)

FAPESP's process: 18/05268-5 - On Hilbert's Zyzygys, bigrade modules and local cohomology
Grantee:Victor Hugo Jorge Pérez
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 18/05271-6 - On Hilbert's Zyzygys, bigrade modules and local cohomology
Grantee:Victor Hugo Jorge Pérez
Support Opportunities: Research Grants - Visiting Researcher Grant - International