Two acyclicizations of a complex and an explicit recollement

Huan Huan Li

doi:10.1007/s10114-017-6565-9

Two acyclicizations of a complex and an explicit recollement

Huan Huan Li

Research output: Contribution to journal › Article › peer-review

Abstract

By assigning to each complex over a semi-simple ring two acyclicizations, we construct an explicit recollement for homotopy categories of a certain triangular matrix ring such that all the six triangle functors of the recollement preserve acyclic complexes.

Original language	English
Pages (from-to)	1305-1320
Number of pages	16
Journal	Acta Mathematica Sinica, English Series
Volume	33
Issue number	10
DOIs	https://doi.org/10.1007/s10114-017-6565-9
Publication status	Published - 2017

Keywords

algebra, homological
algebraic topology
homotopy theory
rings (algebra)

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10.1007/s10114-017-6565-9

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KW - algebra, homological

KW - algebraic topology

KW - homotopy theory

KW - rings (algebra)

UR - http://handle.westernsydney.edu.au:8081/1959.7/uws:42051

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JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

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Two acyclicizations of a complex and an explicit recollement

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Keywords

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