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Power series rings over globalized pseudo-valuation domains |
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| Authors: | Florida Girolami |
| Institution: | Dipartimento di Matematica, Istituto “G. Castelnuovo”, Università di Roma I, 00185 Roma, Italy |
| Abstract: | Let R be a globalized pseudo-valuation domain (for short, GPVD) with Krull dimension n. It is shown that the power series ring RX]] has Krull dimension n + 1 if and only if R has Arnold's SFT-property. There is also given a characterization of GPVD's with the SFT- property. |
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