On the symmetry of the finitistic dimension
Henning Krause
TL;DR
This paper introduces a novel construction of a cover for rings that manipulates the finitistic dimension, increasing it on one side and reducing it to zero on the other, expanding understanding of finitistic dimension behavior.
Contribution
It presents a new method for constructing ring covers that control finitistic dimension, complementing recent research in the area.
Findings
Constructs a cover that increases finitistic dimension on one side.
Constructs a cover that reduces finitistic dimension to zero on the opposite side.
Provides a new perspective on the symmetry of finitistic dimension.
Abstract
For any ring we propose the construction of a cover which increases the finitistic dimension on one side and decreases the finitistic dimension to zero on the opposite side. This complements recent work of Cummings.
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Taxonomy
TopicsRings, Modules, and Algebras · Commutative Algebra and Its Applications · Advanced Topics in Algebra