Orthogonality in the category of N-complexes

Document Type : Research Paper

Authors

Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran

Abstract

‎Let $\CA$ be an exact category and $\Cb_N(\CA)$ be the category of all $N$-complexes in $\CA$‎. ‎If $\mathbb{X}$ is a sufficiently nice class of objects in $\Cb_N(\CA)$‎, ‎then‎, ‎we give a characterization of elements in the right orthogonal $\mathbb{X}^\perp$ of $\mathbb{X}$ in $\Cb_N(\CA)$ with respect to the induced exact structure‎.‎

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References

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