Abstract
In this article, we will characterize some classes of integral domains with finite number of semistar operations of finite character. Precisely, we use the links between the cardinality of the set SSFc(R) of all semistar operations of finite character when finite to the Krull dimension of an integral domain R to give a complete characterizations of integral domains R such that {pipe}SSFc(R){pipe} =n for a positive integer n≤5. Examples to illustrate the scopes and limits of the results are constructed.
| Original language | English |
|---|---|
| Pages (from-to) | 1341-1350 |
| Number of pages | 10 |
| Journal | Communications in Algebra |
| Volume | 38 |
| Issue number | 4 |
| DOIs | |
| State | Published - Apr 2010 |
Bibliographical note
Funding Information:The authors would like to express their gratitude to the referee, whose comments greatly improved this article. This work was funded by KFUPM under Project # SF/60-2006.
Keywords
- Fgv domain
- Krull dimension
- Prüfer domain
- Semistar operation
ASJC Scopus subject areas
- Algebra and Number Theory