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|Paper IPM / M / 11336||
Let D be an integral domain and * a semis tar operation stable and of finite type on it. In this paper we define the semistar dimension (inequality) formula and discover their relations with *-universally catenarian domains and *-stably strong S-domains. As an application we give new characterizations of *-quasi-Priifer domains and UMt domains in terms of dimension inequality formula (and the notions of universally catenarian domain, stably strong S?domain, strong S-domain, and Jaffard domains). We also extend Arnold's formula to the setting of semistar operations.
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