Higher K-theory of Koszul cubes
Satoshi Mochizuki
TL;DR
This paper introduces Koszul cubes to analyze the higher K-theory of noetherian rings, providing a comparison theorem that links these cubes to topological filtrations, advancing understanding of algebraic K-theory structures.
Contribution
It introduces Koszul cubes and establishes a comparison theorem connecting their K-theory to topological filtrations, offering new tools for studying algebraic K-theory.
Findings
Established generators for topological filtrations on higher K-theory.
Proved a comparison theorem between K-theory of Koszul cubes and topological filtrations.
Enhanced methods for analyzing K-theory of noetherian rings.
Abstract
The main objective of this paper is to determine generators of the topological filtrations on the higher K-theory of a noetherian commutative ring with unit A. We introduce the concept of Koszul cubes and give a comparison theorem between the K-theory of Koszul cubes with that of topological filtrations.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Commutative Algebra and Its Applications