Some applications of differential algebra to ring theory
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- by John Cozzens and Joseph Johnson
- Proc. Amer. Math. Soc. 31 (1972), 354-356
- DOI: https://doi.org/10.1090/S0002-9939-1972-0289472-6
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Abstract:
It is shown that simple noetherian $V$-domains with a unique simple module can have any global homological dimension.References
- John H. Cozzens, Homological properties of the ring of differential polynomials, Bull. Amer. Math. Soc. 76 (1970), 75–79. MR 258886, DOI 10.1090/S0002-9904-1970-12370-9
- Joseph Johnson, Extensions of differential modules over formal power series rings, Amer. J. Math. 93 (1971), 731–741. MR 294310, DOI 10.2307/2373468
- Joseph Johnson, Differential dimension polynomials and a fundamental theorem on differential modules, Amer. J. Math. 91 (1969), 239–248. MR 238822, DOI 10.2307/2373279
- E. R. Kolchin, Galois theory of differential fields, Amer. J. Math. 75 (1953), 753–824. MR 58591, DOI 10.2307/2372550
Bibliographic Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 31 (1972), 354-356
- DOI: https://doi.org/10.1090/S0002-9939-1972-0289472-6
- MathSciNet review: 0289472