Abstract
Let R be an integral domain. We investigate when R has only finitely many star operations of finite type. We start by investigating some classes of integral domains with at most two star operations of finite type. Our aim is to generalize or find analogues of several characterizations of well-known classes of integral domains with at most two star operations. Next we concentrate on Mori domains with only finitely many star operations of finite type in a similar study done for Noetherian domains. We end by a section on pullbacks to enrich the literature with new and original examples and also to illustrate several results in the paper.
| Original language | English |
|---|---|
| Pages (from-to) | 489-504 |
| Number of pages | 16 |
| Journal | Journal of Commutative Algebra |
| Volume | 13 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2021 |
Bibliographical note
Funding Information:Supported by KFUPM under DSR Research Grant #: RG161001. 2020 AMS Mathematics subject classification: 13A15, 13F05. Keywords and phrases: star operation, Mori domain, pseudovaluation domain, pullbacks. Received by the editors on September 17, 2018, and in revised form on February 24, 2018.
Publisher Copyright:
© 2021. Rocky Mountain Mathematics Consortium. All Rights Reserved.
Keywords
- Mori domain
- pseudovaluation domain
- pullbacks
- star operation
ASJC Scopus subject areas
- Algebra and Number Theory