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 hypergroups. They are a generalization of transposition hypergroups,  -ary polygroups and join
-ary polygroups and join  -spaces. A subclass of weak transposition
-spaces. A subclass of weak transposition  -ary hypergroups is studied. Also, we prove that the class 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 hypergroups with a unique scalar identity and the class of  -ary polygroups coincide.
-ary polygroups coincide.
On some combinatorial aspects of transposition n-ary hypergroups
Mirvakili, S. and Davvaz, B.
Abstract
 carpathian_2014_30_1_109_116_abstract
carpathian_2014_30_1_109_116_abstractAdditional Information
| Author(s) | Davvaz, B., Mirvakili, S. | 
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