Voir la notice de l'article provenant de la source Math-Net.Ru
@article{SEMR_2023_20_2_a18, author = {A. S. Zakharov}, title = {Simple {Novikov--Poisson} algebras}, journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a}, pages = {1396--1404}, publisher = {mathdoc}, volume = {20}, number = {2}, year = {2023}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/SEMR_2023_20_2_a18/} }
A. S. Zakharov. Simple Novikov--Poisson algebras. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 2, pp. 1396-1404. http://geodesic.mathdoc.fr/item/SEMR_2023_20_2_a18/
[1] I.M. Gel'fand, I.Ya. Dorfman, “Hamiltonian operators and algebraic structures related to them”, Funct. Anal. Appl., 13 (1980), 248–262 | DOI | MR | Zbl
[2] A.A. Balinskii, S.P. Novikov, “Poisson brackets of hydrodynamic type, Frobenius algebras and Lie algebras”, Sov. Math., Dokl., 32 (1985), 228–231 | MR | Zbl
[3] E.I. Zel'manov, “On a class of local translation invariant Lie algebras”, Sov. Math., Dokl., 35 (1987), 216–218 | Zbl
[4] V.T. Filippov, “A class of simple nonassociative algebras”, Math. Notes, 45:1-2 (1989), 68–71 | DOI | MR | Zbl
[5] J.M. Osborn, “Modules for Novikov algebras”, Second international conference on algebra dedicated to the memory of A. I. Shirshov, Proceedings of the conference on algebra (August 20-25, 1991, Barnaul, Russia), Contemp. Math., 184, eds. Bokut' L.A. et al., AMS, Providence, 1991, 327–338 | DOI | MR | Zbl
[6] J.M. Osborn, “Novikov algebras”, Nova J. Algebra Geom., 1:1 (1992), 1–13 | MR | Zbl
[7] J.M. Osborn, “Simple Novikov algebra with an idempotent”, Commun. Algebra, 20:9 (1992), 2729–2753 | DOI | MR | Zbl
[8] X. Xu, “On simple Novikov algebras and their irreducible modules”, J. Algebra, 185:3 (1996), 905–934 | DOI | MR | Zbl
[9] X. Xu, “Novikov-Poisson algebra”, J. Algebra, 190:2 (1997), 253–279 | DOI | MR | Zbl
[10] V.N. Zhelyabin, A.S. Tikhov, “Novikov-Poisson algebras and associative commutative derivation algebras”, Algebra Logic, 47:2 (2008), 107–117 | DOI | MR | Zbl
[11] A.S. Zakharov, “Novikov-Poisson algebras and superalgebras of Jordan brackets”, Commun. Algebra, 42:5 (2014), 2285–2298 | DOI | MR | Zbl
[12] E.C. Posner, “Differentiably simple rings”, Proc. Am. Math. Soc., 11 (1960), 337–343 | DOI | MR | Zbl
[13] R.E. Block, “Determination of the differentiably simple rings with a minimal ideal”, Ann. Math. (2), 90 (1969), 433–459 | DOI | MR | Zbl
[14] Dong Liu, Yufeng Pei, Li-meng Xia, “On finite dimensional simple Novikov superalgebras”, Commun. Algebra, 47:3 (2019), 999–1004 | DOI | MR | Zbl