Post theorem for strongly dependent n-ary semigroups
Aleksandr Vasil'evich Cheremushkin · Discrete Mathematics and Applications · 2020
Abstract We use an analogue of Gluskin–Hosszú theorem for strongly dependent finite n-ary semigroups to prove an analogue of Post coset theorem. We show that in fact these theorems are equivalent. Thus it turns our that the case of n-ary semigroups is fully similar to the case of n-groups.