“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
| Paper IPM / M / 11336 |
|
| Abstract: | |
|
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.
Download TeX format |
|
| back to top | |
