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Essential domains and two conjectures in dimension theory |
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| Authors: | M. Fontana S. Kabbaj |
| Affiliation: | Dipartimento di Matematica, Università degli Studi ``Roma Tre', Largo San L. Murialdo 1, 00146 Roma, Italy ; Department of Mathematics, P.O. Box 5046, KFUPM, Dhahran 31261, Saudi Arabia |
| 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. |
| Keywords: | Krull dimension valuative dimension Jaffard domain integer-valued polynomial ring essential domain Krull domain UFD PVMD Kronecker function ring star operation |
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