Document Type : Original Article

Authors

Department of Mathematics, Payame Noor University (PNU), Tehran, Iran

Abstract

In this paper, we introduce and clarify a new presentation between the n-exact sequence and the n-projective module. Also, we obtain some new results about them

Keywords

[1] M. Auslander and S. O. Smalo, Almost split sequences in subcategories, J. Algebra, 69(2) (1981), 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, Exp. Math., 28(1) (2010), 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, Preprint, 2010.
[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(2) (2021), 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(2) (1990), 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.