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September 2015 Torsion in tensor powers of modules
Olgur Celikbas, Srikanth B. Iyengar, Greg Piepmeyer, Roger Wiegand
Nagoya Math. J. 219: 113-125 (September 2015). DOI: 10.1215/00277630-3140827


Tensor products usually have nonzero torsion. This is a central theme of Auslander’s 1961 paper; the theme continues in the work of Huneke and Wiegand in the 1990s. The main focus in this article is on tensor powers of a finitely generated module over a local ring. Also, we study torsion-free modules N with the property that MRN has nonzero torsion unless M is very special. An important example of such a module N is the Frobenius power peR over a complete intersection domain R of characteristic p>0.


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Olgur Celikbas. Srikanth B. Iyengar. Greg Piepmeyer. Roger Wiegand. "Torsion in tensor powers of modules." Nagoya Math. J. 219 113 - 125, September 2015.


Received: 27 January 2014; Revised: 14 July 2014; Accepted: 14 August 2014; Published: September 2015
First available in Project Euclid: 20 October 2015

zbMATH: 1341.13005
MathSciNet: MR3413575
Digital Object Identifier: 10.1215/00277630-3140827

Primary: 13C12
Secondary: 13D07

Rights: Copyright © 2015 Editorial Board, Nagoya Mathematical Journal


Vol.219 • September 2015
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