Results 1 to 10 of about 210 (144)

On Cyclic Associative Semihypergroups and Neutrosophic Extended Triplet Cyclic Associative Semihypergroups [PDF]

Mathematics, 2022
This paper introduces a new concept called cyclic associative semihypergroup (CA-semihypergroup). The relationships among CA-semihypergroups, Semihypergroups and LA-semihypergroups are studied through some interesting examples.
Xiaohong Zhang
exaly   +13 more sources

On Factorizable Semihypergroups [PDF]

Mathematics, 2020
In this paper, we define and study the concept of the factorizable semihypergroup, i.e., a semihypergroup that can be written as a hyperproduct of two proper sub-semihypergroups. We consider some classes of semihypergroups such as regular semihypergroups,
Irina Cristea, Dariush Heidari
exaly   +6 more sources

Representations, Translations and Reductions for Ternary Semihypergroups

Axioms, 2022
The concept of ternary semihypergroups can be considered as a natural generalization of arbitrary ternary semigroups. In fact, each ternary semigroup can be constructed to a ternary semihypergroup.
Anak Nongmanee, Sorasak Leeratanavalee
doaj   +3 more sources

On Minimal and Maximal Hyperidealsin n-ary Semihypergroups [PDF]

Mathematics, 2020
The concept of j-hyperideals, for all positive integers 1≤j≤n and n≥2, in n-ary semihypergroups, is a generalization of the concept of left, lateral and right hyperideals in ternary semihypergroups.
Jukkrit Daengsaen, Sorasak Leeratanavalee, Bijan Davvaz   +2 more
doaj   +4 more sources

On certain Γ-hyperideals in Γ-semihypergroups [PDF]

Journal of Hyperstructures, 2020
In this paper pseudo symmetric Γ-hyperideal in Γsemihypergroups is introduced and characterized. It is proved thatthe class of pseudo symmetric Γ-semihypergroups contains left (right) duo Γ-semihypergroups, quasi commutative Γ-semihypergroups with unity,
Ansari Safoora Samreen Jamal Abdul Nasir, Kishor Fakira Pawar   +1 more
doaj   +1 more source

On 2-SuperHyperLeftAlmostSemihyp regroups [PDF]

Neutrosophic Sets and Systems, 2022
The aim of this paper is to extend the concept of hyperideals to the SuperHyperAlgebras. In this paper, we introduce the concept of 2-SuperHyperLeftAlmostSemihypergroups which is a generalization of LA-semihypergroups.
Pairote Yiarayong
doaj   +1 more source

On systems, maximal Γ-hyperideals and complete prime Γ-radicals in Γ-semihypergroups [PDF]

Journal of Hyperstructures, 2019
In this paper c-system , n-system and complete prime Γ-radical in a Γ-semihypergroup are introduced and studied whiledefinition of m-system has been revised. Maximal Γ-hyperideals are studied and the conditions under which maximal Γ-hyperideals are prime
Ansari Safoora Samreen Jamal Abdul Nasir, Kishor Fakira Pawar   +1 more
doaj   +1 more source

APPLICATIONS OF ROUGH SOFT TO EXTENSIONS SEMIHYPERGROUPS INDUCED BY OPERATORS AND CORRESPONDING DECISION-MAKING METHODS [PDF]

Journal of Algebraic Systems
In this paper, we apply a rough soft set to a spe-cial algebraic hyperstructure, and give the concept of a rough soft semihypergroup. We propose the notion of lower and upper approximations concerning a special semihypergroup and obtain some properties ...
Noreh Rakhsh-Khorshid, Sohrab Ostadhadi-Dehkordi   +1 more
doaj   +1 more source

Regularities in Ordered n-Ary Semihypergroups

Mathematics, 2021
This paper deals with a class of hyperstructures called ordered n-ary semihypergroups which are studied by means of j-hyperideals for all positive integers 1≤j≤n and n≥3.
Jukkrit Daengsaen, Sorasak Leeratanavalee   +1 more
doaj   +1 more source

On special weak free (semi)hypergroups [PDF]

Journal of Hyperstructures, 2013
In this paper, we study some properties of special weak free (semi)hypergroups and we generalize the Nielsen-Schreier theorem for the class of special weak free hypergroups.
Morteza Jafarpour, Abdolah Chashiyani
doaj   +1 more source