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Simultaneous extensions of polyadic groups


Vasile Pop


Abstract

carpathian_2014_30_3_377_381_abstract

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.

Additional Information

Author(s)

Pop, Vasile