Generalized derivations of algebras with bracket

Authors

DOI:

https://doi.org/10.2298/FIL2604463C

Keywords:

Cohomology of algebra with bracket, central and inner derivations, Wells-type exact sequences of algebras with bracket

Abstract

For an algebra with bracket  and two two-sided ideals, several subalgebras of the Lie algebras 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.

Author Biographies

  • José Manuel Casas, University of Vigo

    Department of Applied Mathematics I & CITMAga

  • Dr. Natalia Pacheco Rego, Campus do IPCA, , 4750-810 Vila Frescainha, S. Martinho, Barcelos, Portugal

    Polytechnical Institue of Cavado e Ave, Department of Ciências

Downloads

Published

2026-02-09

Issue

Vol. 40 No. 04 (2026)

Section

Articles