Stable $t$-Structures and Homotopy Category of Strongly Copure Projective Modules

Authors

  • Xin Ma College of Natural Sciences, Gansu Agricultural University, Lanzhou, 730070
  • Youyi Zhao College of Natural Sciences, Gansu Agricultural University, Lanzhou, 730070

DOI:

https://doi.org/10.13447/j.1674-5647.2017.03.08

Keywords:

homotopy category, recollement, stable $t$-structure

Abstract

In this paper, we study the homotopy category of unbounded complexes of strongly copure projective modules with bounded relative homologies $\mathcal{K}^{∞,bscp}(\mathcal{SCP})$. We show that the existence of a right recollement of $\mathcal{K}^{∞,bscp}(\mathcal{SCP})$ with respect to $\mathcal{K}^{–,bscp}(\mathcal{SCP})$, $\mathcal{K}_{bscp}(\mathcal{SCP})$ and $\mathcal{K}^{∞,bscp}(\mathcal{SCP})$ has the homotopy category of strongly copure projective acyclic complexes as a triangulated subcategory in some cases.

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Published

2019-11-22

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Issue

Vol. 33 No. 3 (2017)

Section

Articles

How to Cite

Stable $t$-Structures and Homotopy Category of Strongly Copure Projective Modules. (2019). Communications in Mathematical Research, 33(3), 281-288. https://doi.org/10.13447/j.1674-5647.2017.03.08