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Creators/Authors contains: "Piepmeyer, Greg"

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  1. Abstract 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 M ⊗ R N has nonzero torsion unless M is very special. An important example of such a module N is the Frobenius power p e R over a complete intersection domain R of characteristic p > 0. 
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