Results 41 to 50 of about 269,304 (111)

Hyperaffine planes over hyperrings [PDF]

, 1996
The aim of this paper is to construct a geometric structure over both an hyperring and a multiplicative hyperring. In order to accomplish this goal we will need to define a particular class of planar hyperrings. Moreover, the notions of hyperaffine plane,
ROTA, Rosaria
core   +1 more source

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, Davvaz Bijan, Feng Feng   +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, Xiaolong Xin, Pengfei He, Zhihong Guan   +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, Wei Wang 0009, Zehuan Yuan, Wei Ji 0008, Dongdong Yu, Shouqian Sun, Tat-Seng Chua, Changhu Wang   +7 more
openaire   +3 more sources

New building blocks for F1${\mathbb {F}}_1$‐geometry: Bands and band schemes

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We develop and study a generalization of commutative rings called bands, along with the corresponding geometric theory of band schemes. Bands generalize both hyperrings, in the sense of Krasner, and partial fields in the sense of Semple and Whittle.
Matthew Baker, Tong Jin, Oliver Lorscheid   +2 more
wiley   +1 more source

Structure of Intuitionistic Fuzzy Sets in Γ‐Semihyperrings

Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
As we know, intuitionistic fuzzy sets are extensions of the standard fuzzy sets. Now, in this paper, the basic definitions and properties of intuitionistic fuzzy Γ‐hyperideals of a Γ‐semihyperring are introduced. A few examples are presented. In particular, some characterizations of Artinian and Noetherian Γ‐semihyperring are given.
Bayram Ali Ersoy, Bijan Davvaz, Feyzi Başar   +2 more
wiley   +1 more source

Ordered Left Almost ⋇‐Semihypergroups Based on Fuzzy Sets

Journal of Mathematics, Volume 2024, Issue 1, 2024.
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. Nowadays, the study of involutions in ordered hyperstructures is a particular area of research in the field of hyperstructure
Nabilah Abughazalah, Naveed Yaqoob, Tareq Al-shami   +2 more
wiley   +1 more source

On Rough Hyperideals in Hyperlattices

Journal of Applied Mathematics, Volume 2013, Issue 1, 2013., 2013
We introduce and study rough hyperideals in hyperlattices. First, we give some interesting examples of hyperlattices and introduce hyperideals of hyperlattices. Then, applying the notion of rough sets to hyperlattices, we introduce rough hyperideals in hyperlattices, which are extended notions of hyperideals of hyperlattices.
Pengfei He, Xiaolong Xin, Jianming Zhan, Hak-Keung Lam   +3 more
wiley   +1 more source

On Weakly S ‐Primary Hyperideals in a Krasner ( m , n )‐Hyperring

Journal of mathematics
Over the years, numerous extensions of the concept of prime hyperideals in a hyperring have been presented by utilizing different algebraic structures associated with the hyperring.
M. Anbarloei
semanticscholar   +1 more source

Note on Isomorphism Theorems of Hyperrings

International Journal of Mathematics and Mathematical Sciences, Volume 2010, Issue 1, 2010., 2010
There are different notions of hyperrings (R, +, ·). In this paper, we extend the isomorphism theorems to hyperrings, where the additions and the multiplications are hyperoperations.
Muthusamy Velrajan, Arjunan Asokkumar, Heinz Gumm   +2 more
wiley   +1 more source