A criterion for the elementary equivalence of endomorphism rings and automorphism groups of Abelian \(p\)-groups.

DOI10.1134/S1064562414040024zbMath1306.20038OpenAlexW2018852123MaRDI QIDQ483640

E. I. Bunina, M. A. Roizner, Alexander V. Mikhalev

Publication date: 17 December 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562414040024

zbMATH Keywords

endomorphism ringsautomorphism groupsAbelian \(p\)-groupselementary equivalences

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Automorphism groups of groups (20F28) Second- and higher-order model theory (03C85) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10)

Related Items (2)

Elementary equivalence of endomorphism monoids of almost free \(S\)-acts ⋮ Elementary equivalence of stable linear groups over local commutative rings with \(1/2\)

Cites Work

• Abelsche \(p\)-Gruppen und ihre Automorphismengruppen
• Automorphism rings of primary abelian operator groups
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