Turkish Journal of Mathematics
DOI
10.3906/mat-1902-41
Abstract
In this paper, we study $ \delta $-primary and 2-absorbing $ \delta $-primary hyperideals which are the extended classes of prime and 2-absorbing hyperideals, respectively. Assume that $R$ is a commutative multiplicative hyperring with nonzero identity. We call $ I \in \mathcal{I*(R)}$ a $\delta $-primary hyperideal if $a,b\in R$ and $a\circ b\subseteq I$ imply either $a\in I$ or $b\in \delta (I)$ and also, $ I $ is called 2-absorbing $\delta $-primary hyperideal if $a,b,c\in R $ and $a\circ b\circ c \subseteq I$ imply $a\circ b\subseteq I$ or $b\circ c\subseteq \delta (I)$ or $a\circ c\subseteq \delta (I)$. Moreover, we give the basic properties of these new types of hyperideals and investigate the relations among these structures. Then a number of main results and examples are given to explain the general framework of these structures.
First Page
1504
Last Page
1517
Recommended Citation
ULUCAK, GÜLŞEN
(2019)
"On expansions of prime and 2-absorbing hyperideals in multiplicative hyperrings,"
Turkish Journal of Mathematics: Vol. 43:
No.
3, Article 32.
https://doi.org/10.3906/mat-1902-41
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss3/32
