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Volume 33, Issue 3
Stable $t$-Structures and Homotopy Category of Strongly Copure Projective Modules

Xin Ma & Youyi Zhao

Commun. Math. Res., 33 (2017), pp. 281-288.

Published online: 2019-11

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  • 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.

  • Keywords

homotopy category, recollement, stable $t$-structure

  • AMS Subject Headings

18E30, 18G10

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

maxin263@126.com (Xin Ma)

  • BibTex
  • RIS
  • TXT
@Article{CMR-33-281, author = {Xin and Ma and maxin263@126.com and 5443 and College of Natural Sciences, Gansu Agricultural University, Lanzhou, 730070 and Xin Ma and Youyi and Zhao and and 5444 and College of Natural Sciences, Gansu Agricultural University, Lanzhou, 730070 and Youyi Zhao}, title = {Stable $t$-Structures and Homotopy Category of Strongly Copure Projective Modules}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {33}, number = {3}, pages = {281--288}, 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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2017.03.08}, url = {http://global-sci.org/intro/article_detail/cmr/13387.html} }
TY - JOUR T1 - Stable $t$-Structures and Homotopy Category of Strongly Copure Projective Modules AU - Ma , Xin AU - Zhao , Youyi JO - Communications in Mathematical Research VL - 3 SP - 281 EP - 288 PY - 2019 DA - 2019/11 SN - 33 DO - http://doi.org/10.13447/j.1674-5647.2017.03.08 UR - https://global-sci.org/intro/article_detail/cmr/13387.html KW - homotopy category, recollement, stable $t$-structure AB -

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.

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