CCZ and EA equivalence between mappings over finite Abelian groups

A category equivalence between homogeneo

A category equivalence between homogeneous completely decomposable abelian groups and modules over principal ideal domains

✍ Lutz Strüengmann 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 91 KB

Let Z ⊆ R be a subgroup of the rationals and (S; ≤) a ÿnite poset. In this paper we introduce the category Rep(S; R) of homogeneous completely decomposable groups H of type R with distinguished homogeneous completely decomposable subgroups H i (i ∈ S) of the same type, respecting the order of S, i.e