Elementary equivalence of endomorphism rings of Abelian p-groups
Copyright policy )Elementary equivalence of endomorphism rings of Abelian p-groups
In this paper we study a relationship between elementary equivalence of endomorphism rings of Abelian p-groups and second order equivalence of the corresponding Abelian p-groups.
69 pages
- Lomonosov Moscow State University Russian Federation
elementary equivalences, Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups, 20K10, Model-theoretic algebra, second order languages, Mathematics - Logic, Group Theory (math.GR), Endomorphism rings; matrix rings, Second- and higher-order model theory, 20K10; 03C60, Applications of logic in associative algebras, Abelian \(p\)-groups, FOS: Mathematics, 03C60, Torsion groups, primary groups and generalized primary groups, Logic (math.LO), Mathematics - Group Theory
elementary equivalences, Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups, 20K10, Model-theoretic algebra, second order languages, Mathematics - Logic, Group Theory (math.GR), Endomorphism rings; matrix rings, Second- and higher-order model theory, 20K10; 03C60, Applications of logic in associative algebras, Abelian \(p\)-groups, FOS: Mathematics, 03C60, Torsion groups, primary groups and generalized primary groups, Logic (math.LO), Mathematics - Group Theory
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