Abstract
This paper deals with reductions of ideals in various settings of pullback constructions. Precisely, we investigate reductions of several types of ideals in both generic and classical pullbacks. We also characterize pullbacks where reductions of a class of ideals extend to reductions of their respective extended ideals. All results are illustrated with original examples.
| Original language | English |
|---|---|
| Pages (from-to) | 523-530 |
| Number of pages | 8 |
| Journal | Algebra Colloquium |
| Volume | 27 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Sep 2020 |
Bibliographical note
Publisher Copyright:© 2020 Academy of Mathematics and Systems Science, Chinese Academy of Sciences.
Keywords
- Prüfer domain
- basic ideal
- minimal reduction
- pullback
- reduction
ASJC Scopus subject areas
- Algebra and Number Theory
- Applied Mathematics
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