Simultaneous extensions of polyadic groups

The reduction of two polyadic groups of arbitrary arity to the same group was studied by I. Corovei, I. Purdea and V. Pop. In this paper we give necessary and sufficient conditions under which two polyadic groups of (m+1)(m+1) and (n+1)(n+1) arity can be extended to the same (k+1)(k+1)-group, where kk is multiple of mm and nn.

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Author(s)

Pop, Vasile