RT Journal Article
T1 Wells-type exact sequence and crossed extensions of algebras with bracket
A1 Casas, José Manuel
A1 Khmaladze, Emzar
A1 Ladra González, Manuel
K1 Algebras with bracket
K1 Cohomology
K1 Crossed module
K1 Wells exact sequence
AB We study the extensibility problem of a pair of derivations associated with an abelian extension of algebras with bracket, and derive an exact sequence of the Wells type. We introduce crossed modules for algebras with bracket and prove their equivalence with internal categories in the category of algebras with bracket. We interpret the set of equivalence classes of crossed extensions as the second cohomology. Finally, we construct an eight-term exact sequence in the cohomology of algebras with bracket.
PB De Gruyter
SN 1435-5337
YR 2024
FD 2024-01-06
LK https://hdl.handle.net/10347/45511
UL https://hdl.handle.net/10347/45511
LA eng
NO The authors were supported by Agencia Estatal de Investigación (Spain), grant PID2020-115155GB-I00. Emzar Khmaladze was financially supported by EU fellowships for Georgian researchers, 2023 (57655523) and by Shota Rustaveli National Science Foundation of Georgia, grant FR-22-199. Third author was also supported by Xunta de Galicia through the Competitive Reference Groups (GRC), ED431C 2023/31.
DS Minerva
RD 9 jun 2026