Ideals containing monics
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- by Budh Nashier and Warren Nichols PDF
- Proc. Amer. Math. Soc. 99 (1987), 634-636 Request permission
Abstract:
If an ideal $I$ of $R[X]$ contains a monic, then every monic in $I$ modulo $JR[X]$ ($J$ being an ideal contained in the Jacobson radical of $R$) can be lifted to a monic in $I$. This result is used to give an elementary proof of Horrocks’ Theorem.References
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N. Bourbaki, Commutative algebra, Addison-Wesley, 1972.
- T. Y. Lam, Serre’s conjecture, Lecture Notes in Mathematics, Vol. 635, Springer-Verlag, Berlin-New York, 1978. MR 0485842
- Moshe Roitman, On projective modules over polynomial rings, J. Algebra 58 (1979), no. 1, 51–63. MR 535842, DOI 10.1016/0021-8693(79)90188-1
Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 99 (1987), 634-636
- MSC: Primary 13C10
- DOI: https://doi.org/10.1090/S0002-9939-1987-0877030-2
- MathSciNet review: 877030