Universally catenarian integral domains, strong S-domains and semistar operations
| dc.creator | Sahandi, Parviz | |
| dc.date | 2008-12-02 | |
| dc.date.accessioned | 2026-07-07T12:08:35Z | |
| dc.date.available | 2026-07-07T12:08:35Z | |
| dc.description | Let $D$ be an integral domain and $\star$ a semistar operation stable and of finite type on it. In this paper, we are concerned with the study of the semistar (Krull) dimension theory of polynomial rings over $D$. We introduce and investigate the notions of $\star$-universally catenarian and $\star$-stably strong S-domains and prove that, every $\star$-locally finite dimensional Prüfer $\star$-multiplication domain is $\star$-universally catenarian, and this implies $\star$-stably strong S-domain. We also give new characterizations of $\star$-quasi-Prüfer domains introduced recently by Chang and Fontana, in terms of these notions. | |
| dc.description | Accepted in communications in algebra | |
| dc.identifier | https://arxiv.org/abs/0812.0444 | |
| dc.identifier | http://arxiv.org/abs/0812.0444 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209369 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13G05, 13B24, 13A15, 13C15 | |
| dc.title | Universally catenarian integral domains, strong S-domains and semistar operations | |
| dc.type | text |