Results 21 to 30 of about 89 (69)

Primitive hyperideals and hyperstructure spaces of hyperrings [PDF]

Categories and General Algebraic Structures with Applications
We introduce primitive hyperideals of a hyperring $R$ and show how they are related to $R$ itself, and to maximal and prime hyperideals of $R$. We endow a Jacobson topology on the set of primitive hyperideals of $R$ and study the topological properties ...
Karin-Therese Howell, Amartya Goswami, Bijan Davvaz   +2 more
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Contribution to study special kinds of hyperideals in ordered semihyperrings

Journal of Taibah University for Science, 2017
In the present paper, we introduce the notion of k-hyperideals on ordered semihyperrings. Then, we investigate some fundamental properties of k-hyperideals of ordered semihyperrings.
S. Omidi, B. Davvaz
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Int-Soft Interior Hyperideals of Ordered Semihypergroups

International Journal of Analysis and Applications, 2017
The main theme of this paper is to study ordered semihypergroups in the context of int-soft interior hyperideals. In this paper, the notion of int-soft interior hyperideals are studied and their related properties are discussed.
Asghar Khan, Muhammad Farooq, Bijan Davvaz   +2 more
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J-hyperideals and related generalizations ‎in ‎ ‎multiplicative ‎hyperrings [PDF]

Journal of Mahani Mathematical Research
‎In this paper‎, ‎we define the concept of $J$-hyperideals which is a generalization of $n$-hyperideals‎. ‎A proper hyperideal $I$ of a multiplicative hyperring $R$ is said to be a $J$-hyperideal if $x,y\in R$ such that $x \circ y \subseteq I$‎, ‎then ...
Mahdi Anbarloei, Ali Behtoei
doaj   +1 more source

Generalized Rough Γ-Hyperideals in Γ-Semihypergroups

Journal of Applied Mathematics, 2014
Davvaz (2008) introduced the concept of set-valued homomorphism and T-rough sets in a group. In this paper, we consider the set-valued homomorphism T on Γ-semihypergroup H to interpret the lower and upper approximations.
Naveed Yaqoob, Shamsul Haq
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Soft semihyperrings- an introduction [PDF]

Journal of Hyperstructures, 2012
The purpose of this paper is to introduce and study soft semihyperrings by giving importance both on attributes and functional value. In this paper the notions of soft semihyperring and its ideals are introduced and studied systematically.
D. Mandal, S. K. Sardar
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The L-ordered L-semihypergroups

Open Mathematics, 2020
This study pursues an investigation on L-semihypergroups equipped with an L-order. First, the concept of L-ordered L-semihypergroups is introduced by L-posets and L-semihypergroups, and some related results are obtained.
Su Shuhua, Liu Fuyao, Yang Shuqun
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Uni-Soft Quasi-Hyperideals Of Ordered Semihypergroups

Discussiones Mathematicae - General Algebra and Applications, 2021
The main purpose of this article is to study ordered semihypergroups in the context of uni-soft quasi-hyperideals. In this article, using the notion of soft-union sets in ordered semihypergroups, we introduce the concept of union-soft (uni-soft) quasi ...
Farooq Muhammad, Khan Raees, Khan Asghar, Izhar Muhammad   +3 more
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Regularities in Ordered n-Ary Semihypergroups

Mathematics, 2021
This paper deals with a class of hyperstructures called ordered n-ary semihypergroups which are studied by means of j-hyperideals for all positive integers 1≤j≤n and n≥3.
Jukkrit Daengsaen, Sorasak Leeratanavalee   +1 more
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On S-2-Prime Hyperideals of Commutative Hyperrings

Mathematics
This paper introduces the notion of S-2-prime hyperideals, providing a unifying generalization of 2-prime and S-prime hyperideals in multiplicative hyperrings.
Elif Tüysüz, Gürsel Yeşilot, Serkan Onar, Sanem Yavuz   +3 more
doaj   +1 more source