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Characterization of n-exact sequence of n-additive categories | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 29، دوره 14، شماره 11، بهمن 2023، صفحه 343-364 اصل مقاله (514.09 K) | ||
| نوع مقاله: Review articles | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27807.3720 | ||
| نویسندگان | ||
| Feysal Hassani؛ Samira Hashemi* ؛ Rasul Rasuli | ||
| Department of Mathematics, Payame Noor University (PNU), P. OBox, 19395-4697 Tehran, Iran | ||
| تاریخ دریافت: 23 تیر 1401، تاریخ بازنگری: 19 شهریور 1401، تاریخ پذیرش: 31 شهریور 1401 | ||
| چکیده | ||
| In this paper, the concepts of n-monomorphism, n-epimorphism, n-isomorphism, n-equivalent, n-coproduct, n-product, n-injection, n-projection, n-initial object, n-terminal object, n-pushout diagram, n-inverse system, n-inverse limit, and n-homology of categories will be introduced and will be shown the relationship between them. Next, some of their properties and structure characteristics will be investigated and obtained some results about them. | ||
| کلیدواژه‌ها | ||
| Category theory؛ n-projective and n-injective objects؛ n-homomorphisms؛ n-epimorphisms and n-monomorphisms؛ n-limits؛ n-colimits؛ n-ker and n-coker | ||
| مراجع | ||
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