Existentially closed structures and some embedding theorems

DOI10.1134/S0001434617050297zbMath1435.20034arXiv1311.2476OpenAlexW2963154609MaRDI QIDQ2401668

Yanyan Li

Publication date: 4 September 2017

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

Full work available at URL: https://arxiv.org/abs/1311.2476

zbMATH Keywords

HNN-extensionembedding of Lie algebrasembedding of groupsalgebraic closenessexistential closenessinductive classes

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Model-theoretic algebra (03C60) General structure theorems for groups (20E34) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Extensions, wreath products, and other compositions of groups (20E22) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (4)

Existentially and $\kappa$-existentially closed groups ⋮ Existentially closed Leibniz algebras and an embedding theorem ⋮ Nullstellensatz for relative existentially closed group ⋮ On Strongly Algebraically Closed Lattices

Cites Work

• Unnamed Item
• Unnamed Item
• A derivation HNN construction for Lie algebras
• Combinatorial group theory.
• A NOTE ON DERIVATIONS OF LIE ALGEBRAS
• HNN-extensions of Lie algebras
• Algebraically Closed Groups

This page was built for publication: Existentially closed structures and some embedding theorems