Abstract
In this article we study when the dual of a t-ideal in a Prüfer V-Multiplication Domain (PVMD) is a ring and we treat the question of when it coincides with its endomorphism ring. We also study particular classes of overrings of PVMDs. Specifically, we investigate the Nagata transform and the endomorphism ring of ideals in PVMDs in an attempt to establish analogues for well-known results on overrings of Prüfer domains.
| Original language | English |
|---|---|
| Pages (from-to) | 233-247 |
| Number of pages | 15 |
| Journal | Communications in Algebra |
| Volume | 40 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2012 |
Bibliographical note
Funding Information:Received February 16, 2009; Revised September 5, 2009. Communicated by I. Swanson. This work is supported by KFUPM. Address correspondence to A. Mimouni, Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, P. O. Box 278, Dhahran 31261, Saudi Arabia; E-mail: [email protected]
Keywords
- Dual of ideal
- Ideal transform
- Overring
- PVMD
- t-ideal
ASJC Scopus subject areas
- Algebra and Number Theory
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