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Orthogonality in the category of N-complexes | ||
| Journal of Algebra and Related Topics | ||
| دوره 14، Special Issue- Dedicated to the memory of Jürgen Herzog (1941-2024).، تیر 2026، صفحه 49-57 اصل مقاله (186.68 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2024.26990.1674 | ||
| نویسندگان | ||
| E. Hosseini* ؛ K. Izadyar | ||
| Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| $N$-complex؛ Exact category؛ Orthogonal pair | ||
| مراجع | ||
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[1] P. Bahiraei, Cotorsion pairs and adjoint functors in the homotopy category of N-complexes, J. Algebra Appl., (2019), 2050236, 19 pp., doi:10.1142/S0219498820502369. [2] P. Bahiraei, R. Hafezi, A. Nematbakhsh, Homotopy category of N-complexes of projective modules, J. Pure Appl. Algebra, (6) 220 (2016), 2414-2433. [3] C. Cibils, A. Solotar, and R. Wisbauer, N-complexes as functors, amplitude coho-mology and fusion rules, Comm. Math. Phys., 272 (2007), 837-849. [4] M. Dubois-Violette, dN= 0: generalized homology, K-Theory, 14 (1998), 371-401. [5] M. Dubois-Violette and R. Kerner, Universal q-differential calculus and q-analog of homological algebra, Acta Math. Univ. Comenian, (2) 65 (1996), 175-188. [6] E. Enochs, J. Garca Rozas, Flat covers of complexes, J. Algebra, 210(1998), 86-102. [7] J. Gillespie, The homotopy category of N-complexes is a homotopy category, J. Homotopy Relat. Struct., 10 (2015), 93-106. [8] M. Henneaux, N-complexes and higher spin gauge fields, Int. J. Geom. Methods Mod. Phys, 8 (2008), 1255-1263. [9] O. Iyama, K. Kato, and J. Miyachi, Derived categories of N-complexes, J. London Math. Soc., (2) 96 (2017), 687-716. [10] M. Kapranov, On the q-analog of homological algebra, https://arxiv.org/abs/qalg/9611005, (1996). [11] B. Keller, Chain complexes and stable categories, Manuscripta Math., 67 (1990), 379-417. | ||
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