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
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Additional Information
Author(s) | Davvaz, B., Mirvakili, S. |
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