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W2142799994 abstract "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." @default.
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W2142799994 date "2015-09-01" @default.
W2142799994 modified "2023-10-14" @default.
W2142799994 title "Torsion in tensor powers of modules" @default.
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W2142799994 doi "https://doi.org/10.1017/s0027763000027112" @default.
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