A characterization of regular local rings
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- by Jacob Barshay PDF
- Proc. Amer. Math. Soc. 29 (1971), 437-439 Request permission
Abstract:
For a local ring, $(A,\mathfrak {M})$ of positive depth regularity is shown to be equivalent to the symmetric algebra of $\mathfrak {M}$ being torsion free.References
- Artibano Micali, Sur les algèbres universelles, Ann. Inst. Fourier (Grenoble) 14 (1964), no. fasc. 2, 33–87 (French). MR 177009
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- D. G. Northcott, Ideal theory, Cambridge Tracts in Mathematics and Mathematical Physics, No. 42, Cambridge, at the University Press, 1953. MR 0058575
- Pierre Samuel, Anneaux gradués factoriels et modules réflexifs, Bull. Soc. Math. France 92 (1964), 237–249 (French). MR 186702
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 29 (1971), 437-439
- MSC: Primary 13.95
- DOI: https://doi.org/10.1090/S0002-9939-1971-0279093-2
- MathSciNet review: 0279093