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

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.