Geodesic
Extensions of n-ary prime hyperideals via an n-ary multiplicative subset in a Krasner (m, n)-hyperring
Filomat, Tome 37 (2023) no. 12, p. 3857

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

DOI

Let R be a Krasner (m, n)-hyperring and S be an n-ary multiplicative subset of R. The purpose of this paper is to introduce the notion of n-ary S-prime hyperideals as a new expansion of n-ary prime hyperideals. A hyperideal I of R disjoint with S is said to be an n-ary S-prime hyperideal if there exists s ∈ S such that whenever (x n 1) ∈ I for all x n 1 ∈ R, then (s, x i , 1 (n−2)) ∈ I for some 1 ≤ i ≤ n. Several properties and characterizations concerning n-ary S-prime hyperideals are presented. The stability of this new concept with respect to various hyperring-theoretic constructions are studied. Furthermore, the concept of n-ary S-primary hyperideals is introduced. Several properties of them are provided.
DOI : 10.2298/FIL2312857A
Classification : 20N20, 16Y99, 20N15, 06E20
Keywords: n-Ary multiplicative subset, n-Ary S-prime hyperideal, n-Ary S-primary hyperideal 
Mahdi Anbarloei. Extensions of n-ary prime hyperideals via an n-ary multiplicative subset in a Krasner (m, n)-hyperring. Filomat, Tome 37 (2023) no. 12, p. 3857 . doi: 10.2298/FIL2312857A
@article{10_2298_FIL2312857A,
     author = {Mahdi Anbarloei},
     title = {Extensions of n-ary prime hyperideals via an n-ary multiplicative subset in a {Krasner} (m, n)-hyperring},
     journal = {Filomat},
     pages = {3857 },
     year = {2023},
     volume = {37},
     number = {12},
     doi = {10.2298/FIL2312857A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2312857A/}
}
TY  - JOUR
AU  - Mahdi Anbarloei
TI  - Extensions of n-ary prime hyperideals via an n-ary multiplicative subset in a Krasner (m, n)-hyperring
JO  - Filomat
PY  - 2023
SP  - 3857 
VL  - 37
IS  - 12
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2312857A/
DO  - 10.2298/FIL2312857A
LA  - en
ID  - 10_2298_FIL2312857A
ER  - 
%0 Journal Article
%A Mahdi Anbarloei
%T Extensions of n-ary prime hyperideals via an n-ary multiplicative subset in a Krasner (m, n)-hyperring
%J Filomat
%D 2023
%P 3857 
%V 37
%N 12
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2312857A/
%R 10.2298/FIL2312857A
%G en
%F 10_2298_FIL2312857A

Cité par Sources :