Torsion in tensor products over one-dimensional domains

2019/02/19 by Steinburg, Neil, RogerWiegand
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1902.07157

Abstract

Over a one-dimensional Gorenstein local domain R, let E be the endomorphism ring of the maximal of R, viewed as a subring of the integral closure R. If there exist finitely generated R-modules M and N, neither of them free, whose tensor product is torsion-free, we show that E must be local with the same residue field as R.

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