Abstract
This paper deals with reductions and core of ideals in commutative rings. We examine trivial ring extensions arising from integral domains, particularly valuation and Prüfer domains. This study builds on previous findings related to Prüfer domains and earlier work on trivial ring extensions of special modules.
| Original language | English |
|---|---|
| Pages (from-to) | 1217-1235 |
| Number of pages | 19 |
| Journal | New York Journal of Mathematics |
| Volume | 32 |
| State | Published - 2026 |
Bibliographical note
Publisher Copyright:© 2026, University at Albany. All rights reserved.
Keywords
- Prüfer domain
- Trivial ring extension
- basic ideal
- core of an ideal
- minimal reduction
- reduction
- valuation domain
ASJC Scopus subject areas
- General Mathematics
Fingerprint
Dive into the research topics of 'Reductions and cores of ideals in trivial ring extensions over integral domains'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver