Work

On the dimension of fiber products of commutative rings

Year: 2025

Type: article

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.

Source: Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas

DOI: 10.1007/s13398-025-01803-3

Authors: Désirée Basile, Carmelo Antonio Finocchiaro

Institution: University of Catania

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390

Funders: Università di Catania, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni