Results 11 to 20 of about 182 (116)

Some Properties of Relative Bi-(Int-)Γ-Hyperideals in Ordered Γ-Semihypergroups

Frontiers in Physics, 2020
In this article, we study the concept of relative bi-Γ-hyperideals (J-bi-Γ-hyperideals) in ordered Γ-semihypergroups and present some related examples of this concept.
Yongsheng Rao, Peng Xu, Zehui Shao
exaly   +3 more sources

Characterizations of Hyperrings by Fuzzy Hyperideals with Respect to A t-norm

Fuzzy Information and Engineering, 2017
In this paper, we inquire further into the properties on some kind fuzzy hyperideals and we study the hyperrings via T-fuzzy hyperideals. By means of the use of a triangular norm T, we define, characterize and study the T-fuzzy left and right hyperideals,
Kostaq Hila, Krisanthi Naka
doaj   +2 more sources

On Hyperideals of Multiplicative Hyperrings

Cumhuriyet Science Journal, 2022
Let R be a commutative multiplicative hyperring. In this paper, we introduce and study the concepts of n-hyperideal and δ-n-hyperideal of R which are generalization of n-ideals and δ-n-ideals of the in a commutative ring.
Ummahan Merdinaz Acar, Betül Coşgun
doaj   +3 more sources

Ordered Left Almost ⋇-Semihypergroups Based on Fuzzy Sets

Journal of Mathematics
The concept of an involution or anti-involution is a self-inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups.
Nabilah Abughazalah, Naveed Yaqoob
doaj   +2 more sources

Generalized fuzzy hyperideals of hyperrings

Computers and Mathematics With Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jianming Zhan, Bijan Davvaz, K P Shum
exaly   +3 more sources

Weakly $S$-prime hyperideals [PDF]

Journal of Mahani Mathematical Research
‎‎The purpose of this paper is presenting a new expansion class, namely weakly ‎$‎n‎$‎-ary ‎$‎S‎$‎-prime hyperideals in Krasner ‎$‎(m,n)‎$‎-hyperrings. In summary, we give an extension of ‎‎$‎n$-ary $‎S‎$‎-prime hyperideals. Some results and examples are
Mahdi Anbarloei
doaj   +3 more sources

$(m,n)$-Hyperideals in Ordered Semihypergroups [PDF]

Categories and General Algebraic Structures with Applications, 2020
In this paper, first we introduce the notions of an $(m,n)$-hyperideal and a generalized $(m,n)$-hyperideal in an ordered semihypergroup, and then, some properties of these hyperideals are studied.
Ahsan Mahboob, Noor Khan, Bijan Davvaz
doaj   +4 more sources

On Fuzzy Ordered Hyperideals in Ordered Semihyperrings

Advances in Fuzzy Systems, 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
O. Kazancı, Ş. Yılmaz, B. Davvaz
doaj   +4 more sources

On primary hyperideals of ternary hypersemiring [PDF]

Journal of Hyperstructures, 2021
In this article, we introduce the notions of radical of hyperideals and primary hyperideals of a ternary hypersemiring.We obtain some important properties of radical of hyperideals and primary hyperideals on a particular class of hyperideals, called ...
Nita Tamang, Manasi Mandal, Sampad Das
doaj   +1 more source

Bi-interior, quasi-interior and bi-quasi-interior Γ-hyperideal in Γ-semihyperring [PDF]

Journal of Hyperstructures, 2023
The concept of a Γ-semihyperring is a generalization of a semiring, semihyperring, Γ-semiring. In this Paper we introducethe notion of bi-interior Γ-hyperideals, quasi-interior Γ-hyperideals and bi-quasi-interior Γ-hyperideals in a Γ-semihyperring as a ...
Chaitanya B. Kumbharde, Kishor F. Pawar, Safoora J. Ansari   +2 more
doaj   +1 more source