The aim of this research work is to define and characterize a new class of algebraic hyperstructures that we call weak transposition 
-ary hypergroups. They are a generalization of transposition hypergroups, -ary polygroups and join -spaces. A subclass of weak transposition -ary hypergroups is studied. Also, we prove that the class of weak transposition -ary hypergroups with a unique scalar identity and the class of -ary polygroups coincide.
On some combinatorial aspects of transposition n-ary hypergroups
Mirvakili, S. and Davvaz, B.
Abstract
carpathian_2014_30_1_109_116_abstractAdditional Information
| Author(s) | Davvaz, B., Mirvakili, S. |
|---|
Recently posted
-
An inertial method for solving the split equality fixed point problem with multiple output sets
-
Asymptotic modeling of non-linear viscopiezoelectric Kelvin-Voigt type plates via Trotter theory
-
Properties of isocompact spaces in topological groups
-
Two generalized cyclic projection algorithms for solving a class of the split feasibility problem in real Hilbert spaces
-
Global-fixed-point property of gyrogroup actions
-
On simple normal structure and best proximity points in reflexive Banach space
-
Unified Convergence Analysis of Certain At Least Fifth Order Methods
-
A set packing model for the Partition Coloring Problem
-
Cut-through connections of graphs
-
Positive solutions for multipoint boundary value problem of fractional differential equation with parameter