Results 21 to 30 of about 324 (107)

r‐Hyperideals and Generalizations of r‐Hyperideals in Krasner Hyperrings

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
This paper deals with Krasner hyperrings as an important class of algebraic hyperstructures. We investigate some properties of r‐hyperideals in commutative Krasner hyperrings. Some properties of pr‐hyperideals are also studied. The relation between prime hyperideals and r‐hyperideals is investigated. We show that the image and the inverse image of an r‐
Peng Xu, Melis Bolat, Elif Kaya, Serkan Onar, Bayram Ali Ersoy, Kostaq Hila, Kamal Kumar   +6 more
wiley   +1 more source

Applications of (Neutro/Anti)sophications to Semihypergroups

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this paper, we extend the notion of semi‐hypergroups (resp. hypergroups) to neutro‐semihypergroups (resp. neutro‐hypergroups). We investigate the property of anti‐semihypergroups (resp. anti‐hypergroups). We also give a new alternative of neutro‐hyperoperations (resp. anti‐hyperoperations), neutro‐hyperoperation‐sophications (resp.
A. Rezaei, F. Smarandache, S. Mirvakili, Parimala Mani   +3 more
wiley   +1 more source

A Study on A − I − Γ‐Hyperideals and (m, n) − Γ‐Hyperfilters in Ordered Γ‐Semihypergroups

Discrete Dynamics in Nature and Society, Volume 2021, Issue 1, 2021., 2021
The concept of almost interior Γ‐hyperideals (A − I − Γ‐hyperideals) in ordered Γ‐semihypergroups is a generalization of the concept of interior Γ‐hyperideals (I − Γ‐hyperideals). In this study, the connections between I − Γ‐hyperideals and A − I − Γ‐hyperideals in ordered Γ‐semihypergroups were presented.
Yongsheng Rao, Saeed Kosari, Zehui Shao, Maryam Akhoundi, Saber Omidi, Tien Van Do   +5 more
wiley   +1 more source

Approximations of (∈, ∈∨qk)‐Fuzzy Hyperideals in Ordered LA‐Semihypergroups

Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
This paper concerns the relationship between rough sets, (∈, ∈∨qk)‐fuzzy sets, and the LA‐semihypergroups. We proved that the lower approximation (l‐approx) and the upper approximation (u‐approx) of different hyperideals of LA‐semihypergroups become again hyperideal and also provided some examples.
Nabilah Abughazalah, Naveed Yaqoob, Samavia Ashraf, G. Muhiuddin   +3 more
wiley   +1 more source

[Retracted] Topological Structures of Lower and Upper Rough Subsets in a Hyperring

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this paper, we study the connection between topological spaces, hyperrings (semi‐hypergroups), and rough sets. We concentrate here on the topological parts of the lower and upper approximations of hyperideals in hyperrings and semi‐hypergroups. We provide the conditions for the boundary of hyp‐ideals of a hyp‐ring to become the hyp‐ideals of hyp ...
Nabilah Abughazalah, Naveed Yaqoob, Kiran Shahzadi, naeem jan   +3 more
wiley   +1 more source

Algorithms for determining the type of algebraic hyperstructures and morphisms [PDF]

Mathematics and Computational Sciences
In this paper, we present some primary methods to define a hypergroupoid by algorithm. Then, we present algorithms for checking if it is closed under ο, associativity, weak associativity, commutativity, weak commutativity, establishing the reproduction ...
Aboutorab Pourhaghani, Seid Mohammad Anvariyeh, Bijan Davvaz   +2 more
doaj   +1 more source

Induced Representations and Hypergroupoids [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2014
This paper is submitted to the special issue of the journal SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) in honor of Marc A ...
openaire   +4 more sources

Hypergroupoids determined by lattices

European Journal of Combinatorics, 2010
The paper deals with hypergroupoids where the hyperoperation is determined by lattices. The main results are conditions under which the hyperoperation is associative and when a hypergroup is obtained.
Leoreanu-Fotea, Violeta, Rosenberg, Ivo G.   +1 more
openaire   +2 more sources

Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures

Mathematics, 2019
The aim of this paper is to study, from an algebraic point of view, the properties of interdependencies between sets of elements (i.e., pieces of secrets, atmospheric variables, etc.) that appear in various natural models, by using the algebraic ...
Irina Cristea, Juš Kocijan, Michal Novák   +2 more
doaj   +1 more source

Quantisation of derived Lagrangians [PDF]

, 2020
We investigate quantisations of line bundles $\mathcal{L}$ on derived Lagrangians $X$ over $0$-shifted symplectic derived Artin $N$-stacks $Y$. In our derived setting, a deformation quantisation consists of a curved $A_{\infty}$ deformation of the ...
Pridham, J. P.
core   +3 more sources