Results 11 to 20 of about 58,058 (118)

On 1-Absorbing Prime Hyperideal and Some of Its Generalizations

Journal of Mathematics, 2022
In this paper, we introduce the concept of 1-absorbing prime hyperideals which is an expansion of the prime hyperideals. Several properties of the hyperideals are provided.
M. Anbarloei
doaj   +2 more sources

Some Generalized Forms of Fuzzy Interval Valued Hyperideals in a Hyperring [PDF]

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, Zeyuan Li, Yunqiang Yin, Hector Pomares   +3 more
wiley   +2 more sources

On Weakly S-Primary Hyperideals in a Krasner (m, n)-Hyperring

Journal of Mathematics
Over the years, numerous extensions of the concept of prime hyperideals in a hyperring have been presented by utilizing different algebraic structures associated with the hyperring.
Mahdi Anbarloei
doaj   +2 more sources

Primary hyperideals of multiplicative hyperrings

, 2018
In this article, we study prime, primary, C-hyperideals of multiplicative hyperrings in the senseof Rota [14]. Prime hyperideal avodiance lemma was proved in [4]. We mainly study union of primaryhyperideals in hyperring. Among many results in this study we give the primary hyperideal avodiancelemma.
Sevim, Esra Şengelen, Ersoy, Bayram Ali, Davvaz, Bijan   +2 more
openaire   +2 more sources

Fuzzy γ-hyperideals in γ-hypersemirings by using triangular norms. [PDF]

ScientificWorldJournal, 2014
The concept of Γ‐semihyperrings was introduced by Dehkordi and Davvaz as a generalization of semirings, semihyperrings, and Γ‐semiring. In this paper, by using the notion of triangular norms, we define the concept of triangular fuzzy sub‐Γ‐semihyperrings as well as triangular fuzzy Γ‐hyperideals of a Γ‐semihyperring, and we study a few results in this ...
Ersoy BA, Davvaz B, Onar S, Leoreanu-Fotea V.   +3 more
europepmc   +2 more sources

Generalizations of 2-Absorbing Primary Hyperideals of Multiplicative Hyperrings [PDF]

مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2023
In this paper, we introduce the concept of ϕ-2-absorbing primary hyperideals in multiplicative hyperrings. Several results concerning ϕ-2-absorbing primary hyperideals are proved.
Mohammad Hamoda
doaj   +1 more source

Regular equivalence and strongly regular equivalence on multiplicative ternary hyperring [PDF]

Journal of Hyperstructures, 2015
We introduce the notion of a multiplicative ternary hyperring, consider regular equivalences and strongly regular equivalences of a multiplicative ternary hyperring and investigate their properties.
Md Salim Masud Molla, T. Chanda, T. K. Dutta   +2 more
doaj   +1 more source

Hyper-systolic matrix multiplication [PDF]

Parallel Computing, 2001
A novel parallel algorithm for matrix multiplication is presented. The hyper-systolic algorithm makes use of a one-dimensional processor abstraction. The procedure can be implemented on all types of parallel systems. It can handle matrix-vector multiplications as well as transposed matrix products.
Thomas Lippert, Nicolai Petkov, Paolo Palazzari, Klaus Schilling 0002   +3 more
openaire   +5 more sources

A Novel Study on Ordered Anti‐Involution LA‐Semihypergroups

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In this study, we introduce a new concept called “anti‐involution” in relation to ordered LA‐semihypergroups. An anti‐involution is basically an involuntary automorphism, which is just a fancy term for a mathematical function that can be reversed. We looked at several fundamental results before introducing anti‐involution hyperideals.
Nabilah Abughazalah, Naveed Yaqoob, Tareq Al-shami   +2 more
wiley   +1 more source

ϕ ‐δ‐Primary Hyperideals in Krasner Hyperrings

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this paper, we study commutative Krasner hyperrings with nonzero identity. ϕ‐prime, ϕ‐primary and ϕ‐δ‐primary hyperideals are introduced. The concept of δ‐primary hyperideals is extended to ϕ‐δ‐primary hyperideals. Some characterizations of hyperideals are provided to classify them.
Hao Guan, Elif Kaya, Melis Bolat, Serkan Onar, Bayram Ali Ersoy, Kostaq Hila, Hasan Dinçer   +6 more
wiley   +1 more source