Results 31 to 40 of about 149 (104)
On Homomorphisms of Krasner Hyperrings
Annals of the Alexandru Ioan Cuza University - Mathematics, 2011 On Homomorphisms of Krasner Hyperrings By a homomorphism from a Krasner hyperring (A, +, ·) into a Krasner hyperring (A', +', ·') we mean a function ƒ: A → A' satisfying ƒ(x + y) ⊆ ƒ(x)+ ƒ(y) and ƒ(x · y) = ƒ(x) ·' ƒ(y) for all ×, y ∈ A. The kernel of ƒ, ker ƒ, is defined by ker ƒ = {x ∈ A | ƒ(x) = 0'} where 0' is the zero of (A', +', ·').
Phanthawimol, W. +3 more
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ON STRONGLY ASSOCIATIVE HYPERRINGS [PDF]
Journal of Algebraic Systems, 2019 This paper generalizes the idea of strongly associative hyperoperation introduced in [7] to the class of hyperrings. We introduce and investigate hyperrings of type 1, type 2 and SDIS.
Fatemeh Arabpur, Morteza Jafarpour
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Fundamental System and Boundary Structure of Topological Krasner Hypermodules [PDF]
Sahand Communications in Mathematical AnalysisIn this article, we first define hyperstructures known as Krasner hypermodules. Then, the concept of topological Krasner hypermodules is explored, examining their fundamental propertiesand the notion of continuous mappings that exist between such ...
Azam Zare, Bijan Davvaz
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On d-prime hyperideals of hyperrings [PDF]
Journal of HyperstructuresFor Krasner hyperrings, we study d-prime hyperideals where d is a homo-derivation. Furthermore, we show that every maximal d-hyperideal and d-prime hyperideal is a prime hyperideal of a commutative hyperring.
Maryam Akhoundi, Saber Omidi
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Regular local hyperrings and hyperdomains
, 2022 This paper falls in the area of hypercompositional algebra. In particular, it focuses on the class of Krasner hyperrings and it studies the regular local hyperrings.
Cristea, Irina +2 more
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Hopkins-Levitzki theorem for Krasner hyperrings
Filomat, 2021 In this paper, our aim is to generalize and extend the Hopkins-Levitzki theorem from noncommutative rings to Krasner hyperring. Also, we prove that a Krasner hyperring R is Noetherian if and only if it satisfies the ascending chain conditions of prime hyperideals.
S. Ostadhadi-Dehkordi, K.P. Shum
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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
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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
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t-Extending Krasner Hypermodules
, 2022 Let M be a hypermodule over a hyperring R such that the intersection of any two subhypermodules of M is a subhypermodule of M. We introduce the concept of a t-essential subhypermodule in M relative to an arbitrary subhypermodule T of M, which is called T-
Turkmen, Burcu Nisanci
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States and Measures on Hyper BCK‐Algebras
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 We define the notions of Bosbach states and inf‐Bosbach states on a bounded hyper BCK‐algebra (H, ∘, 0, e) and derive some basic properties of them. We construct a quotient hyper BCK‐algebra via a regular congruence relation. We also define a ∘‐compatibled regular congruence relation θ and a θ‐compatibled inf‐Bosbach state s on (H, ∘, 0,e). By inducing
Xiao-Long Xin, Pu Wang, Baolin Wang
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