On extension of classical Baer results to Poisson algebras
Keyword(s):
In this paper we prove that if P is a Poisson algebra and the n-th hypercenter (center) of P has a finite codimension, then P includes a finite-dimensional ideal K such that P/K is nilpotent (abelian). As a corollary, we show that if the nth hypercenter of a Poisson algebra P (over some specific field) has a finite codimension and P does not contain zero divisors, then P is an abelian algebra.
2021 ◽
pp. 11-16
Keyword(s):
Keyword(s):
1990 ◽
Vol 120
◽
pp. 113-127
◽
Keyword(s):
1982 ◽
Vol 91
(3-4)
◽
pp. 243-263
◽
2014 ◽
Vol 14
(2)
◽
pp. 371-386
◽
2001 ◽
Vol 29
(10)
◽
pp. 4655-4669
◽
2011 ◽
Vol 369
(1939)
◽
pp. 1264-1279
◽