Abstract
This paper contributes to the study of the core of ideals in Noetherian rings. We use techniques and objects from multiplicative ideal theory to develop explicit formulas for the core in various classes of one-dimensional Noetherian domains. All results are illustrated with original examples, where we explicitly compute the core.
| Original language | English |
|---|---|
| Pages (from-to) | 346-360 |
| Number of pages | 15 |
| Journal | Journal of Algebra |
| Volume | 555 |
| DOIs | |
| State | Published - 1 Aug 2020 |
Bibliographical note
Publisher Copyright:© 2020 Elsevier Inc.
Keywords
- Core of an ideal
- Noetherian domain
- Reduction
- Stability
- Trace property
ASJC Scopus subject areas
- Algebra and Number Theory
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