Geodesic
Weak $n$-injective and weak $n$-fat modules
Czechoslovak Mathematical Journal, Tome 72 (2022) no. 3, pp. 913-925.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We introduce and study the concepts of weak $n$-injective and weak $n$-flat modules in terms of super finitely presented modules whose projective dimension is at most $n$, which generalize the $n$-FP-injective and $n$-flat modules. We show that the class of all weak $n$-injective $R$-modules is injectively resolving, whereas that of weak $n$-flat right \hbox {$R$-modules} is projectively resolving and the class of weak $n$-injective (or weak $n$-flat) modules together with its left (or right) orthogonal class forms a hereditary (or perfect hereditary) cotorsion theory.\looseness +1
DOI : 10.21136/CMJ.2022.0225-21
Classification : 16D40, 16D50, 16E10, 16E30
Keywords: weak injective module; weak flat module; weak $n$-injective module; weak $n$-flat module; cotorsion theory 
@article{10_21136_CMJ_2022_0225_21,
     author = {Arunachalam, Umamaheswaran and Raja, Saravanan and Chelliah, Selvaraj and Annadevasahaya Mani, Joseph Kennedy},
     title = {Weak $n$-injective and weak $n$-fat modules},
     journal = {Czechoslovak Mathematical Journal},
     pages = {913--925},
     publisher = {mathdoc},
     volume = {72},
     number = {3},
     year = {2022},
     doi = {10.21136/CMJ.2022.0225-21},
     mrnumber = {4467948},
     zbl = {07584108},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0225-21/}
}
TY  - JOUR
AU  - Arunachalam, Umamaheswaran
AU  - Raja, Saravanan
AU  - Chelliah, Selvaraj
AU  - Annadevasahaya Mani, Joseph Kennedy
TI  - Weak $n$-injective and weak $n$-fat modules
JO  - Czechoslovak Mathematical Journal
PY  - 2022
SP  - 913
EP  - 925
VL  - 72
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0225-21/
DO  - 10.21136/CMJ.2022.0225-21
LA  - en
ID  - 10_21136_CMJ_2022_0225_21
ER  - 
%0 Journal Article
%A Arunachalam, Umamaheswaran
%A Raja, Saravanan
%A Chelliah, Selvaraj
%A Annadevasahaya Mani, Joseph Kennedy
%T Weak $n$-injective and weak $n$-fat modules
%J Czechoslovak Mathematical Journal
%D 2022
%P 913-925
%V 72
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0225-21/
%R 10.21136/CMJ.2022.0225-21
%G en
%F 10_21136_CMJ_2022_0225_21
Arunachalam, Umamaheswaran; Raja, Saravanan; Chelliah, Selvaraj; Annadevasahaya Mani, Joseph Kennedy. Weak $n$-injective and weak $n$-fat modules. Czechoslovak Mathematical Journal, Tome 72 (2022) no. 3, pp. 913-925. doi : 10.21136/CMJ.2022.0225-21. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0225-21/

Cité par Sources :