Results 41 to 50 of about 189 (116)

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
doaj   +1 more source

Cayley Graphs over LA‐Groups and LA‐Polygroups

Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
The purpose of this paper is the study of simple graphs that are generalized Cayley graphs over LA‐polygroups (GCLAP − graphs). In this regard, we construct two new extensions for building LA‐polygroups. Then, we define Cayley graph over LA‐group and GCLAP‐graph.
Nabilah Abughazalah, Naveed Yaqoob, Asif Bashir, Roslan Hasni   +3 more
wiley   +1 more source

An Approach to BMBJ‐Neutrosophic Hyper‐BCK‐Ideals of Hyper‐BCK‐Algebras

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this article, a new idea of BMBJ‐neutrosophic hyper‐BCK‐algebras is introduced and some of its properties are investigated. Here, BMBJ‐neutrosophic hyper‐BCK‐ideal, BMBJ‐neutrosophic weak hyper‐BCK‐ideal, BMBJ‐neutrosophic s‐weak hyper‐BCK‐ideal, and BMBJ‐neutrosophic strong hyper‐BCK‐ideal are presented, and some relevant results and relations are ...
Abdelaziz Alsubie, Anas Al-Masarwah, Young Bae Jun, Abd Ghafur Ahmad, Feng Feng   +4 more
wiley   +1 more source

Single‐Valued Neutro Hyper BCK‐Subalgebras

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
The purpose of this paper is to introduce the notation of single‐valued neutrosophic hyper BCK‐subalgebras and a novel concept of neutro hyper BCK‐algebras as a generalization and alternative of hyper BCK‐algebras, that have a larger applicable field. In order to realize the article’s goals, we construct single‐valued neutrosophic hyper BCK‐subalgebras
M. Hamidi, F. Smarandache, Firdous A. Shah   +2 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

Soft set theoretic approach to hyperstructtures [PDF]

Journal of Hyperstructures, 2016
In this paper, we have achieved hyperoperations us- ing soft set theory. We have showed that any given set H is a hyperstructure with And and Or operations in soft set theory.
Mustafa Burç Kandemir
doaj   +1 more source

Factorizable Ordered Hypergroupoids with Applications

Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
In this study, we propose the concept of factorizable ordered hypergroupoids (semihypergroups) and present several of its properties. Our goal is to construct ordered hypergroupoid from blood groups together with some other information. Finally, we discuss right magnifying elements for further research.
Xiaolong Shi, Hao Guan, Maryam Akhoundi, Saber Omidi, Yong Aaron Tan   +4 more
wiley   +1 more source

The New Notation for Hyperoperation of a Sequence

, 2022
For a sequence a_1, a_2, ..., a_n, we define the exponent, tetration and pentation of a sequence a_n as E_{k=1}^{n} (a_k) = a_1[3]a_2[3]...[3]a_n, T_{k=1}^{n} (a_k) = a_1[4]a_2[4]...[4]a_n, Phi_{k=1}^{n} (a_k) = a_1[5]a_2[5]...[5]a_n. Also, we define the i-th hyperoperation of a sequence a_n as {H_i}_{k=1}^{n} (a_k) = a_1[i]a_2[i]...[i]a_n.
openaire   +3 more sources

ON (m, n)-ARY P-Hv-MODULES AND THEIR ISOMORPHISM THEOREMS [PDF]

Journal of Algebraic Systems
After introducing the definition of hypergroups by Marty, the study of hyperstructures and its generalization to $(m,n)$-ary hyperstructures has been of great importance. In this paper, we construct the structure of $(m,n)$-ary $H_v$-modules over $(m,n)$-
M. Al Tahan, Bijan Davvaz
doaj   +1 more source

Signed Tropical Convexity [PDF]

, 2020
We establish a new notion of tropical convexity for signed tropical numbers. We provide several equivalent descriptions involving balance relations and intersections of open halfspaces as well as the image of a union of polytopes over Puiseux series and ...
Végh, László A., Loho, Georg
core   +1 more source