1Department of Mathematics, Faculty of Science and Technology of Fez 2Department of Mathematics and Computer Sciences,, Faculty of Science,, University Moulay Ismail, Meknes
Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 1, pp. 35-53
Citer cet article
Najib Mahdou; Mohammed Tamekkante; Najib Mahdou; Mohammed Tamekkante. Strongly $n$-Gorenstein projective, injective and flat modules. Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 1, pp. 35-53. http://geodesic.mathdoc.fr/item/AMUC_2018_87_1_a3/
@article{AMUC_2018_87_1_a3,
author = {Najib Mahdou and Mohammed Tamekkante and Najib Mahdou and Mohammed Tamekkante},
title = { Strongly $n${-Gorenstein} projective, injective and flat modules},
journal = {Acta mathematica Universitatis Comenianae},
pages = {35--53},
year = {2018},
volume = {87},
number = {1},
url = {http://geodesic.mathdoc.fr/item/AMUC_2018_87_1_a3/}
}
TY - JOUR
AU - Najib Mahdou
AU - Mohammed Tamekkante
AU - Najib Mahdou
AU - Mohammed Tamekkante
TI - Strongly $n$-Gorenstein projective, injective and flat modules
JO - Acta mathematica Universitatis Comenianae
PY - 2018
SP - 35
EP - 53
VL - 87
IS - 1
UR - http://geodesic.mathdoc.fr/item/AMUC_2018_87_1_a3/
ID - AMUC_2018_87_1_a3
ER -
%0 Journal Article
%A Najib Mahdou
%A Mohammed Tamekkante
%A Najib Mahdou
%A Mohammed Tamekkante
%T Strongly $n$-Gorenstein projective, injective and flat modules
%J Acta mathematica Universitatis Comenianae
%D 2018
%P 35-53
%V 87
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2018_87_1_a3/
%F AMUC_2018_87_1_a3
This paper generalize the idea of the authors in [3]. Namely, we define and study a particular case of modules with Gorenstein projective, injective, and flat dimension less or equal than n \geq 0 , which we call, respectively, strongly n-Gorenstein projective, injective and flat modules. These three classes of modules give us a new characterization of the first modules, and they are a generalization of the notions of strongly Gorenstein projective, injective, and flat modules respectively.
