Finitistic injective dimension exceeding finitistic projective dimension for a commutative ring
Year: 2026
Type: preprint
Abstract: We construct a commutative ring whose big finitistic projective dimension is $1$ and whose big finitistic injective dimension is $2$. The example contradicts the comparison suggested by Bass for commutative rings.
Source: arXiv (Cornell University)
Author: Chen, Liang
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213514240
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