Elementary equivalence of partially commutative Lie rings and algebras

DOI10.1007/s10469-017-9455-4zbMath1432.17010OpenAlexW2767743318WikidataQ115384421 ScholiaQ115384421MaRDI QIDQ1703272

Evgeniĭ Nikolaevich Poroshenko

Publication date: 2 March 2018

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-017-9455-4

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Solvable, nilpotent (super)algebras (17B30) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (1)

Partially commutative groups and Lie algebras

Cites Work

• The commutator width of some relatively free Lie algebras and nilpotent groups
• Partially commutative metabelian groups: centralizers and elementary equivalence.
• Universal equivalence of partially commutative metabelian groups.
• Universal theories for partially commutative metabelian groups.
• Elementary theory of free non-abelian groups.
• The lower central series of the free partially commutative group
• Logical aspects of the theory of divisible rigid groups.
• Free partially commutative structures
• Universal equivalence of partially commutative metabelian Lie algebras
• Parabolic and quasiparabolic subgroups of free partially commutative groups.
• Diophantine geometry over groups. VI: The elementary theory of a free group.
• On Universal Equivalence of Partially Commutative Metabelian Lie Algebras
• Elementary properties of Abelian groups

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