The $n$-generator property for commutative rings
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- by Robert Gilmer PDF
- Proc. Amer. Math. Soc. 38 (1973), 477-482 Request permission
Abstract:
Let $D$ be an integral domian with identity. If for some positive integer $n$, each finitely generated ideal of $D$ has a basis of $n$ elements, then the integral closure of $D$ is a Prüfer domain. This result generalizes to the case of commutative rings with identity that contain zero divisors.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 38 (1973), 477-482
- DOI: https://doi.org/10.1090/S0002-9939-1973-0309922-7
- MathSciNet review: 0309922