Derivations and the first cohomology group of trivial extension algebras
From MaRDI portal
Publication:1679144
DOI10.1007/s00009-017-0949-zzbMath1373.16022arXiv1604.02758OpenAlexW2963741070MaRDI QIDQ1679144
Publication date: 8 November 2017
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.02758
inner derivationderivationcohomology grouptriangular matrix algebratrivial extension algebracentral inner bimodule homomorphismmodule generalized derivation
(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Derivations, actions of Lie algebras (16W25) Centralizing and normalizing extensions (16S20)
Related Items
Unnamed Item, Poisson cohomology of trivial extension algebras, Lie triple derivations on trivial extension algebras, Commuting mappings on the Hochschild extension of an algebra, Jordan centralizer maps on trivial extension algebras, On generalized Lie derivations, Lie generalized derivations on trivial extension algebras, Poisson derivations and the first Poisson cohomology group on trivial extension algebras, The first cohomology group and weak amenability of a Morita context Banach algebra
Cites Work
- Jordan derivations on trivial extensions
- The first cohomology group of module extension Banach algebras
- Biderivations of triangular algebras.
- Derivations of upper triangular matrix rings
- Lie derivations on trivial extension algebras
- Generalized derivations on modules
- Extensions of Rings and Modules
- Weak amenability of module extensions of Banach algebras
- On the distance of the composition of two derivations to the generalized derivations
- COHOMOLOGY OF SPLIT ALGEBRAS AND OF TRIVIAL EXTENSIONS This work has been supported by the projects SECYT-ECOS A98E05 and SECYT-CAPES BR1299OG. The first author wishes to thank FAPESP (Brazil) for financial support. The second author has a research scholarship from Cnpq (Brazil). The third and fourth authors are research members of CONICET (Argentina).
- Derivations of triangular Banach algebras
- Automorphism groups of trivial extensions.
- Hochschild cohomology of relation extension algebras