Torsion theory and associated primes
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- by Paul-Jean Cahen PDF
- Proc. Amer. Math. Soc. 38 (1973), 471-476 Request permission
Abstract:
A torsion theory partitions the spectrum of the base ring into two sets. Over a Noetherian ring, every suitable partition of the spectrum gives rise to one and only one torsion theory. It is possible to know whether a module is torsion or torsion-free by looking at its associated primes. The example of the polynomial torsion theory is developed.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 38 (1973), 471-476
- MSC: Primary 13C10
- DOI: https://doi.org/10.1090/S0002-9939-1973-0357384-6
- MathSciNet review: 0357384