Essential domains and two conjectures in dimension theory
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- by M. Fontana and S. Kabbaj PDF
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Abstract:
This note investigates two long-standing conjectures on the Krull dimension of integer-valued polynomial rings and of polynomial rings in the context of (locally) essential domains.References
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Additional Information
- M. Fontana
- Affiliation: Dipartimento di Matematica, Università degli Studi “Roma Tre”, Largo San L. Murialdo 1, 00146 Roma, Italy
- Email: fontana@mat.uniroma3.it
- S. Kabbaj
- Affiliation: Department of Mathematics, P.O. Box 5046, KFUPM, Dhahran 31261, Saudi Arabia
- Email: kabbaj@kfupm.edu.sa
- Received by editor(s): January 15, 2003
- Published electronically: April 21, 2004
- Additional Notes: The first author was partially supported by a research grant MIUR 2001/2002 (Cofin 2000-MM01192794). The second author was supported by the Arab Fund for Economic and Social Development
This work was done while both authors were visiting Harvard University - Communicated by: Bernd Ulrich
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 2529-2535
- MSC (2000): Primary 13C15, 13F20, 13F05, 13G05, 13B02, 13B30
- DOI: https://doi.org/10.1090/S0002-9939-04-07502-1
- MathSciNet review: 2054776