HNN-extensions of Lie algebras

DOI10.1090/S0002-9939-97-04124-5zbMath0897.17004MaRDI QIDQ4372446

A. I. Lichtman, Mazi Shirvani

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

free productsHNN-extensionsgeneralized derivationsassociative ringsrestricted Lie \(p\)-algebrafree Lie sumShirshov's theoremfree restricted Lie algebraKukin's theoremsubalgebras with derivation

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Identities, free Lie (super)algebras (17B01) Structure theory for Lie algebras and superalgebras (17B05) Modular Lie (super)algebras (17B50)

Related Items (9)

Coabelian ideals in \(\mathbb{N}\)-graded Lie algebras and applications to right angled Artin Lie algebras ⋮ Existentially closed structures and some embedding theorems ⋮ A normal form for HNN-extensions of dialgebras ⋮ Non-associative central extensions of null-filiform associative algebras ⋮ HNN-extension of involutive multiplicative Hom-Lie algebras ⋮ Unnamed Item ⋮ HNN-extensions of Leibniz algebras ⋮ Bass-Serre theory for Lie algebras: a homological approach ⋮ HNN-extension of Lie superalgebras

Cites Work

• On the free product of associative rings
• On the free product of associative rings. II: The case of (skew) fields
• The HNN construction for rings
• On the free product of associative rings. III
• Combinatorial Problems for Skew Fields I. Analogue of Britton's Lemma, and Results of Adjan-Rabin Type
• Modules Over Coproducts of Rings
• Embedding Theorems for Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: HNN-extensions of Lie algebras