Results 31 to 40 of about 275 (108)
A class of hyperrings and hyperfields
International Journal of Mathematics and Mathematical Sciences, 1983 Hyperring is a structure generalizing that of a ring, but where the addition is not a composition, but a hypercomposition, i.e., the sum x+y of two elements, x,y, of a hyperring H is, in general, not an element but a subset of H.
Marc Krasner
doaj +1 more source
, 2014 The Witt construction describes a functor from the category of Rings to the category of characteristic 0 rings. It is uniquely determined by a few associativity constraints which do not depend on the types of the variables considered, in other words ...
Marcolli, Matilde, Thorngren, Ryan
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Alpha-prime hyperideals in a multiplicative hyperring
, 2021 The notion of multiplicative hyperrings is an important class of the algebraic hyper-structures.
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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
wiley +1 more source
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
wiley +1 more source
Some Generalized Forms of Fuzzy Interval Valued Hyperideals in a Hyperring
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 +3 more
wiley +1 more source
Some Properties of Multiplicative Hv‐Rings of Polynomials over Multiplicative Hyperrings
Algebra, Volume 2014, Issue 1, 2014., 2014 The set of all polynomials R[x], over a multiplicative hyperring (R, + , ·), form a commutative group with respect to the component‐wise addition (+) of the polynomials. For polynomials f, g in R[x], f*g is a set of polynomials whose (k + 1)th components k∈N∪0 are chosen from the set ∑i+j=kai · bj, where ai and bj are the (i + 1)th and the (j + 1)th ...
Utpal Dasgupta, Andrei V. Kelarev
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Associate, Hyperdomainlike, and Presimplifiable Hyperrings
Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014 Based on the works of Axtell et al., Anderson et al., and Ghanem on associate, domainlike, and presimplifiable rings, we introduce new hyperrings called associate, hyperdomainlike, and presimplifiable hyperrings. Some elementary properties of these new hyperrings and their relationships are presented.
Agboola Adesina Abdul Akeem +2 more
wiley +1 more source
Applications of Soft Union Sets in the Ring Theory
Journal of Applied Mathematics, Volume 2013, Issue 1, 2013., 2013 The aim of the paper is to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. In order to provide these soft algebraic structures, the notion of (λ, μ)‐soft union rings which is a generalization of that of soft union rings is proposed.
Yongwei Yang +3 more
wiley +1 more source
Conditional Hyper-Network for Blind Super-Resolution With Multiple Degradations
IEEE Transactions on Image Processing, 2022 Accepted by IEEE Transaction on Image ...
Guanghao Yin +7 more
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