Results 51 to 60 of about 182 (116)
Characterizations of Semihyperrings by Their (∈γ,∈γ∨qδ)-Fuzzy Hyperideals
Journal of Applied Mathematics, 2013 The concepts of (∈γ,∈γ∨qδ)-fuzzy bi-hyperideals and (∈γ,∈γ∨qδ)-fuzzy quasi-hyperideals of a semihyperring are introduced, and some related properties of such (∈γ,∈γ∨qδ)-fuzzy hyperideals are investigated.
Xiaokun Huang +2 more
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Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical
Journal of Mathematics, Volume 2024, Issue 1, 2024.We call a Krasner right S‐hypermodule A regular if each cyclic subhypermodule of A is a direct summand of A, and we also call A semiregular if every finitely generated subhypermodule of A lies above a direct summand of A. In this study, some properties of such hypermodules are achieved.
Yıldız Aydın +2 more
wiley +1 more source
On S-2-Prime Hyperideals of Commutative Hyperrings
MathematicsThis 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 +3 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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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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J-hyperideals and related generalizations in multiplicative hyperrings [PDF]
Journal of Mahani Mathematical ResearchIn 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
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Fuzzy Hyperideals of Left Almost Semihypergroups
International Journal of Analysis and Applications, 2017 This paper explores the foundations of fuzzy left (resp. right) hyperideals of left almost semihypergroups (briefly, LA-semihypergroups). We investigate the properties of fuzzy left hyperideals and fuzzy right hyperideals in regular and intra-regular LA ...
Asghar Khan +3 more
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Some Generalized Forms of Fuzzy Interval Valued Hyperideals in a Hyperring
Journal of Applied Mathematics, 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 ...
Hongjie Li, Zeyuan Li, Yunqiang Yin
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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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Hyperideals in M-polysymmetrical hyperrings
Journal of Algebraic Systems, 2019 Summary: An M-polysymmetrical hyperring \((R,+,\cdot)\) is an algebraic system, where \((R,+)\) is an M-polysymmetrical hypergroup, \((R,\cdot )\) is a semigroup and \(\cdot\) is bilaterally distributive over \(+\). In this paper, we introduce the concept of hyperideals of an M-polysymmetrical hyperring and by using this concept, we construct an ...
Madani, M. A., Mirvakili, S., Davvaz, B.
openaire +3 more sources