On the dimension of fiber products of commutative rings
Abstract The aim of this paper is to investigate chains of prime ideals in any fiber product of morphisms in the category of commutative ring. After computing explicitly the Krull dimension of a fiber product in some particular relevant cases, we provide some bounds for it in general and we illustrate their sharpness by providing appropriate examples.
Authors
- Carmelo Antonio Finocchiaro (ORCID: https://orcid.org/0000-0001-9345-9475)
- Désirée Basile
Institutions
- University of Catania (IT)
Publication Details
- Journal
- Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas
- Published
- 2025-10-24
- DOI
- https://doi.org/10.1007/s13398-025-01803-3
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Università di Catania
- Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni