Negative K-groups of abelian categories
Satoshi Mochizuki
TL;DR
This paper proves that all negative K-groups of small abelian categories are trivial, providing a significant simplification in the understanding of their algebraic K-theory.
Contribution
It establishes the triviality of negative K-groups for small abelian categories, a result not previously known in the field.
Findings
Negative K-groups of small abelian categories are trivial
Simplifies the algebraic K-theory of abelian categories
Provides a foundation for further K-theoretic studies
Abstract
We prove that negative K-groups of small abelian categories are trivial.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory · Rings, Modules, and Algebras