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math.GR2024
Elementary equivalence of endomorphism rings and automorphism groups of periodic Abelian groups
Elena Bunina
In this paper, we prove that the endomorphism rings End A and End A' of periodic infinite Abelian groups A and A' are elementarily equivalent if and only if the endomorphism rings…
math.GR2024
Types in torsion free Abelian groups
Elena Bunina
In this paper we study (logical) types and isotypical equivalence of torsion free Abelian groups. We describe all possible types of elements and standard 2-tuples of elements in th…
math.GR2024★ 2 cited
Isotypical equivalence of periodic Abelian groups
Elena Bunina
In this paper we give invariants that characterize isotypically equivalent Abelian periodic groups. Also, we describe types of standart tuples of elements in these groups. As the p…