پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شمارهها | 675 |
| تعداد مقالات | 9,823 |
| تعداد مشاهده مقاله | 69,729,683 |
| تعداد دریافت فایل اصل مقاله | 49,126,514 |
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 | ||
|
[1] M. Auslander and S. O. Smalǿ, Almost split sequences in subcategories, J. Algebra, 69 (1981), no. 2, 426-454. [2] M. P. Brodmann and R. Y. Sharp, Local Cohomology, An Algebraic Introduction with Geometric Applications, Cambridge Studies in Advanced Mathematics, vol. 60, Cambridge University Press, Cambridge, 1998. [3] T. Buhler, Exact categories, Expo. Math, 28 (2010), no. 1, 1–69. [4] P. Fredy, Abelian categories, An Introduction to the Theory of Functors, Harper’s Series in Modern Mathematics, Harper and Row Publishers, New York, 1994. [5] L. Frerick and D. Sieg, Exact Categories in Functional Analysis, Available at https://www.math.unitrier.de//abteilung/analysis/HomAlg.pdf. [6] S. Hashemi, F. Hassani and R. Rasuli, The new results in injective modules, Earthline J. Math. Sci. 7 (2021), 145–159. [7] S. Hashemi, F. Hassani and R. Rasuli, The New Results in n-injective Modules and n-projective Modules, Earthline J. Math. Sci. 7 (2021), no. 2, 271–285. [8] S. Hashemi, F. Hassani and R. Rasuli, The new results in n-abelian category, Eur. J. Math. Appl. 1 (2021). [9] G. Jasso, n-Abelian and n-exact categories, Math. Z. 283 (2016), 703–759. [10] A. Neeman, The derived category of an exact category, J. Algebra 135 (1990), no. 2, 388–394. [11] L. Ribes and P. Zalesskii, Profinite Groups, Springer, Berlin Heidelberg, 2010. [12] J. J. Rotman, An Introduction to Homological Algebra, New York Springer Verlag, 1992. [13] C.A. Weibel, An Introduction to Homological Algebra, Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge, 1994. | ||
|
آمار تعداد مشاهده مقاله: 16,362 تعداد دریافت فایل اصل مقاله: 8,025 |
||