Results 31 to 40 of about 269,304 (111)
(WEAKLY) (s, n)-CLOSED HYPERIDEALS IN COMMUTATIVE MULTIPLICATIVE HYPERRINGS [PDF]
Journal of Algebraic SystemsA multiplicative hyperring is a well-known type of algebraic hyperstructures which extends a ring to a structure in which the addition is an operation but the multiplication is a hyperoperation. Let $G$ be a commutative multiplicative hyperring and $s,
Mahdi Anbarloei
doaj +1 more source
Some results on graded prime and primary hyperideals
Journal of Algebraic Hyperstructures and Logical Algebras, 2023 Let G be a group with identity e and R be a multiplicative hyperring. We introduce the concept of G-graded multiplicative hyperring R and present some new results and examples.
P. Ghiasvand
semanticscholar +1 more source
$n-$absorbing $I-$prime hyperideals in multiplicative hyperrings [PDF]
, 2023 In this paper, we define the concept $I-$prime hyperideal in a multiplicative hyperring $R$. A proper hyperideal $P$ of $R$ is an $I-$prime hyperideal if for $a, b \in R$ with $ab \subseteq P-IP$ implies $a \in P$ or $b \in P$.
Mina, Ali A., Akray, Ismael
core +1 more source
Hyperideal Structure of Krasner's Induced Quotient Hypperings
Vavuniya Journal of Science, 2022 This paper mainly explores the hyperideal structure of Krasner’s induced quotient hyperrings. By Krasner’s induced hyperring, we mean an additive hyperring R/G induced on a ring R by one of its multiplicative subgroups G.
R. Rathnayaka, Nadesan Ramaruban
semanticscholar +1 more source
Alpha-prime hyperideals in a multiplicative hyperring
, 2021 The notion of multiplicative hyperrings is an important class of the algebraic hyper-structures.
openaire +2 more sources
On Fuzzy Ordered Hyperideals in Ordered Semihyperrings
Advances in Fuzzy Systems, Volume 2019, Issue 1, 2019., 2019 In this paper, we introduce the concept of fuzzy ordered hyperideals of ordered semihyperrings, which is a generalization of the concept of fuzzy hyperideals of semihyperrings to ordered semihyperring theory, and we investigate its related properties. We show that every fuzzy ordered quasi‐hyperideal is a fuzzy ordered bi‐hyperideal, and, in a regular ...
O. Kazancı +3 more
wiley +1 more source
δ‐Primary Hyperideals on Commutative Hyperrings
International Journal of Mathematics and Mathematical Sciences, Volume 2017, Issue 1, 2017., 2017 The purpose of this paper is to define the hyperideal expansion. Hyperideal expansion is associated with prime hyperideals and primary hyperideals. Then, we define some of their properties. Prime and primary hyperideals’ numerous results can be extended into expansions.
Elif Ozel Ay +3 more
wiley +1 more source
Some Generalized Forms of Fuzzy Interval Valued Hyperideals in a Hyperring
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 Some generalized forms of the hyperideals of a hyperring in the paper of Zhan et al. (2008) will be given. As a generalization of the interval valued (α, β)‐fuzzy hyperideals of a hyperring with α, β ∈ {∈, q, ∈∧q, ∈∨q} and α ≠ ∈∧q, the notion of generalized interval valued (α, β)‐fuzzy hyperideals of a hyperring is also introduced. Special attention is
Hongjie Li +3 more
wiley +1 more source
On expansions of prime and 2-absorbing hyperideals in multiplicative hyperrings
Turkish Journal of Mathematics, 2019 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.
G. Ulucak
semanticscholar +1 more source
(weakly) (s,n)-closed hyperideals [PDF]
, 2023 A multiplicative hyperring is a well-known type of algebraic hyperstructures which extend a ring to a structure in which the addition is an operation but multiplication is a hyperoperation. Let G be a commutative multiplicative hyperring and s,n \in Z^+.
Anbarloei, Mahdi
core +1 more source