Geodesic
On S-2-absorbing primary submodules
Filomat, Tome 35 (2021) no. 5, p. 1477

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

This article introduces the concept of S-2-absorbing primary submodule as a generalization of 2-absorbing primary submodule. Let S be a multiplicatively closed subset of a ring R and M an R-module. A proper submodule N of M is said to be an S-2-absorbing primary submodule of M if (N : R M) ∩ S = φ and there exists a fixed element s ∈ S such that whenever abm ∈ N for some a, b ∈ R and m ∈ M, then either sam ∈ N or sbm ∈ N or sab ∈ (N : R M). We give several examples, properties and characterizations related to the concept. Moreover, we investigate the conditions that force a submodule to be S-2-absorbing primary.
DOI : 10.2298/FIL2105477N
Classification : 16P40, 13A15, 16D60
Keywords: S-2-Absorbing Primary Submodules, 2-Absorbing Primary Submodules, S-Primary submodules 
Osama A Naji. On S-2-absorbing primary submodules. Filomat, Tome 35 (2021) no. 5, p. 1477 . doi: 10.2298/FIL2105477N
@article{10_2298_FIL2105477N,
     author = {Osama A Naji},
     title = {On {S-2-absorbing} primary submodules},
     journal = {Filomat},
     pages = {1477 },
     year = {2021},
     volume = {35},
     number = {5},
     doi = {10.2298/FIL2105477N},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2105477N/}
}
TY  - JOUR
AU  - Osama A Naji
TI  - On S-2-absorbing primary submodules
JO  - Filomat
PY  - 2021
SP  - 1477 
VL  - 35
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2105477N/
DO  - 10.2298/FIL2105477N
LA  - en
ID  - 10_2298_FIL2105477N
ER  - 
%0 Journal Article
%A Osama A Naji
%T On S-2-absorbing primary submodules
%J Filomat
%D 2021
%P 1477 
%V 35
%N 5
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2105477N/
%R 10.2298/FIL2105477N
%G en
%F 10_2298_FIL2105477N

Cité par Sources :