The Telescope Conjecture for von Neumann regular rings

Year 2024, , 90 - 94, 09.01.2024

Xiaolei Zhang

https://doi.org/10.24330/ieja.1298175

Abstract

In this note, we show that any epimorphism originating at a von Neumann regular ring (not necessary commutative) is a universal localization. As an application, we prove that the Telescope Conjecture holds for the unbounded derived categories of von Neumann regular rings (not necessary commutative).

Keywords

Derived category, ring epimorphism, von Neumann regular ring, the Telescope Conjecture

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