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 https://doi.org/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
Anbarloei, M., "$wsq$-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
