Work

Finitistic Weak Dimension of Commutative Arithmetical Rings

Year: 2011

Type: preprint

Abstract: It is proven that each commutative arithmetical ring $R$ has a finitistic weak dimension $\leq 2$. More precisely, this dimension is 0 if $R$ is locally IF, 1 if $R$ is locally semicoherent and not IF, and 2 in the other cases.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1105.5960

Author: Couchot, Francois

Institutions: Centre National de la Recherche Scientifique, Laboratoire de Mathématiques Nicolas Oresme

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2950477619

Cites: 5

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Related to: 20