Properties of Koszul homology modules
Uwe Nagel, Tony J. Puthenpurakal
TL;DR
This paper explores the module-theoretic properties of Koszul homology modules, such as depth, $S_2$-property, and Bass numbers, under mild conditions, enhancing understanding of their algebraic structure.
Contribution
It provides new insights into the properties of Koszul homology modules, focusing on their depth, $S_2$-property, and Bass numbers, under mild assumptions.
Findings
Koszul homology modules satisfy the $S_2$-property under certain conditions.
Depth and Bass numbers of Koszul homology modules are characterized.
New criteria for the module-theoretic properties of Koszul homology are established.
Abstract
We investigate various module-theoretic properties of Koszul homology under mild conditions. These include their depth, -property and their Bass numbers
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Taxonomy
TopicsCommutative Algebra and Its Applications · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models