University of Guilan Journal of Algebra and Related Topics 2345-3931 14 Special Issue- Dedicated to the memory of Jürgen Herzog (1941-2024). 2026 04 01 Orthogonality in the category of N-complexes 49 57 8193 10.22124/jart.2024.26990.1674 EN E. Hosseini Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran 0000-0002-0971-7548 K. Izadyar Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran Journal Article 2024 05 31 ‎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.‎ $N$-complex‎ Exact category‎ orthogonal pair https://jart.guilan.ac.ir/article_8193_40009f809fc48bfc9091fd7210c8b32f.pdf