Department of Mathematics, Faculty of Sciences, Imam Khomeini International University, Qazvin, Iran
10.22060/ajmc.2025.23170.1236
Abstract
In this paper, we present a new class of hyperideals called weakly strongly quasi-primary (briefly, $wsq$-primary) hyperideal. For this purpose we first need to introduce the notion of quasi-primary hyperideals. Then we define a subclass of the concept called strongly quasi-primary hyperideals. After the definition and investigation of them, we propose an extension of the strongly quasi-primary hyperideals called weakly strongly quasi-primary hyperideals. Several properties and characterizations concerning the concept are presented. The stability of this new concept with respect to various hyperring-theoretic constructions is studied.
Anbarloei,M. (2026). $wsq$-Primary hyperideals in a Krasner $(m,n)$-hyperring. (e6089). AUT Journal of Mathematics and Computing, (), e6089 doi: 10.22060/ajmc.2025.23170.1236
MLA
Anbarloei,M. . "$wsq$-Primary hyperideals in a Krasner $(m,n)$-hyperring" .e6089 , AUT Journal of Mathematics and Computing, , , 2026, e6089. doi: 10.22060/ajmc.2025.23170.1236
HARVARD
Anbarloei M. (2026). '$wsq$-Primary hyperideals in a Krasner $(m,n)$-hyperring', AUT Journal of Mathematics and Computing, (), e6089. doi: 10.22060/ajmc.2025.23170.1236
CHICAGO
M. Anbarloei, "$wsq$-Primary hyperideals in a Krasner $(m,n)$-hyperring," AUT Journal of Mathematics and Computing, (2026): e6089, doi: 10.22060/ajmc.2025.23170.1236
VANCOUVER
Anbarloei M. $wsq$-Primary hyperideals in a Krasner $(m,n)$-hyperring. AUT J Math Comput, 2026; (): e6089. doi: 10.22060/ajmc.2025.23170.1236
