The Noetherian property for quotient rings of infinite polynomial rings
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- by Robert Gilmer and William Heinzer PDF
- Proc. Amer. Math. Soc. 76 (1979), 1-7 Request permission
Abstract:
Let X be an infinite set of indeterminates over the commutative Noetherian ring R with identity. We prove that the quotient ring of $R[X]$ with respect to the multiplicative system of polynomials of unit content is also Noetherian. Moreover, we show that certain quotient rings of $R[X]$ with respect to multiplicative systems of monic polynomials (where “monic” is appropriately defined) are also Noetherian.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 76 (1979), 1-7
- MSC: Primary 13B25
- DOI: https://doi.org/10.1090/S0002-9939-1979-0534377-2
- MathSciNet review: 534377