PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
April 23, 20260 citationsOpen Access

Generalized derivations of algebras with bracket

View Full Paper
JCJ. M. CasasUniversidade de VigoNRNatália Maria de Bessa Pacheco Rego

Key Points

  • The aim is to explore the relationships between different subalgebras of derivations and their properties in algebras with brackets.
  • Introduction and characterization of subalgebras related to derivations of algebras with bracket.
  • Analysis of the relationship between subalgebras, central derivations, and inner derivations.
  • Derivation of exact sequences associated with abelian extensions.
  • Characterized various subalgebras of derivations and their interplay with central and inner derivations.
  • Obtained exact sequences that reveal the structure of the introduced derivations.
  • Established connections between these subalgebras and the abelian extension of algebras with bracket.

Abstract

For an algebra with bracket and two two-sided ideals, several subalgebras of the Lie algebra of derivations of an algebra with bracket are introduced and characterized. The interplay of these subalgebras with central derivations and inner derivations of tautological algebras with bracket is analyzed. Exact sequences of Wells-type are obtained, which include the various types of subalgebras of introduced derivations, and which are associated with an abelian extension of algebras with bracket.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Casas et al. (2026) studied this question.

synapsesocial.com/papers/69e9b89b85696592c86ebc6ehttps://doi.org/10.2298/fil2604463c
Ask AI
Helpful
Bookmark
Share
View Full Paper