Universal equivalence of partially commutative nilpotent groups.

DOI10.1134/S0037446611050132zbMath1243.20046OpenAlexW1965726614MaRDI QIDQ665900

E. I. Timoshenko, Alexei A. Mishchenko

Publication date: 7 March 2012

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446611050132

zbMATH Keywords

Euclidean ringspartially commutative groupsbinomial ringsuniversal equivalences

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Nilpotent groups (20F18) Quasivarieties and varieties of groups (20E10) Basic properties of first-order languages and structures (03C07)

Related Items (6)

Universal equivalence of some countably generated partially commutative structures ⋮ Universal equivalence of general and special linear groups over fields ⋮ Centralizer dimensions and universal theories for partially commutative metabelian groups ⋮ Properties and universal theories for partially commutative nilpotent metabelian groups. ⋮ Universal equivalence of symplectic groups ⋮ Group signature formulas constructed from graphs

Cites Work

• Universal equivalence of partially commutative metabelian groups.
• Commuting graphs for partially commutative nilpotent \(\mathbb{Q}\)-groups of class 2.
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