A note on the homology of differentials
Mohsen Asgharzadeh
TL;DR
This paper explores the homological properties of differentials and their relation to Gorenstein homology and the Gorenstein property of rings, providing new insights and applications in algebraic structures.
Contribution
It establishes connections between the Gorenstein homology of derivations and the Gorenstein property of base rings, focusing on differential ideals.
Findings
Characterization of the complete-intersection property of maximally differential ideals
Link between Gorenstein homology of derivations and Gorenstein rings
Applications to algebraic structures and properties
Abstract
We deal with the complete-intersection property of maximally differential ideals. Also, we connect the Gorenstein homology of derivations to the Gorenstein property of the base rings. These equipped with some applications.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory