A note on Poisson derivations
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 3, pp. 657-660.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Free Poisson algebras are very closely connected with polynomial algebras, and the Poisson brackets are used to solve many problems in affine algebraic geometry. In this note, we study Poisson derivations on the symplectic Poisson algebra, and give a connection between the Jacobian conjecture with derivations on the symplectic Poisson algebra.
DOI : 10.21136/CMJ.2017.0574-16
Classification : 13N15, 17B63
Keywords: Poisson algebra; derivation; Jacobian conjecture
@article{10_21136_CMJ_2017_0574_16,
     author = {Li, Jiantao},
     title = {A note on {Poisson} derivations},
     journal = {Czechoslovak Mathematical Journal},
     pages = {657--660},
     publisher = {mathdoc},
     volume = {68},
     number = {3},
     year = {2018},
     doi = {10.21136/CMJ.2017.0574-16},
     mrnumber = {3851882},
     zbl = {06986963},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0574-16/}
}
TY  - JOUR
AU  - Li, Jiantao
TI  - A note on Poisson derivations
JO  - Czechoslovak Mathematical Journal
PY  - 2018
SP  - 657
EP  - 660
VL  - 68
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0574-16/
DO  - 10.21136/CMJ.2017.0574-16
LA  - en
ID  - 10_21136_CMJ_2017_0574_16
ER  - 
%0 Journal Article
%A Li, Jiantao
%T A note on Poisson derivations
%J Czechoslovak Mathematical Journal
%D 2018
%P 657-660
%V 68
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0574-16/
%R 10.21136/CMJ.2017.0574-16
%G en
%F 10_21136_CMJ_2017_0574_16
Li, Jiantao. A note on Poisson derivations. Czechoslovak Mathematical Journal, Tome 68 (2018) no. 3, pp. 657-660. doi : 10.21136/CMJ.2017.0574-16. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0574-16/

Cité par Sources :