Abstract
This paper deals with minimal reductions and core of ideals invarious settings of pullback constructions with the aim of building original examples,where we explicitly compute the core. To this purpose, we use techniquesand objects from multiplicative ideal theory to investigate the existence of minimalreductions in Section 2 and then develop explicit formulas for the core inSection 3. The last section features illustrative examples and counterexamples.
| Original language | English |
|---|---|
| Pages (from-to) | 512-529 |
| Number of pages | 18 |
| Journal | Acta Mathematica Hungarica |
| Volume | 163 |
| Issue number | 2 |
| DOIs | |
| State | Published - Apr 2021 |
Bibliographical note
Publisher Copyright:© 2021, Akadémiai Kiadó, Budapest, Hungary.
Keywords
- Prüfer domain
- basic ideal
- core of an ideal
- invertibility
- minimal reduction
- pullback
- reduction
- stability
- trace property
- valuation domain
ASJC Scopus subject areas
- General Mathematics