ON EXPONENTIATION AND MULTIPLICATION OF n-ARY HYPERALGEBRAS

Abstract

Abstract. In the paper, a new operation of product of n-ary hyperalgebras is introduced and studied which lies between their direct product and the direct product of their idempotent hulls. With respect to the product introduced, we give sufficient conditions for the validity of the first exponential law and a weak form of the second exponential law for a natural exponentiation of n-ary hyperalgebras.