Abstract
AbstractWe consider a finite-dimensional Jordan superalgebra $$\mathcal {A}$$
A
over a field of characteristic zero $$\mathbb {F}$$
F
such that $$\mathcal {N}$$
N
is the solvable radical of $$\mathcal {A}$$
A
. We proved that if $$\mathcal {N}\,^2=0$$
N
2
=
0
and $$\mathcal {A}/\mathcal {N}$$
A
/
N
is isomorphic to simple Jordan superalgebra of Grassmann Poisson bracket $$\mathfrak {K}\textrm{an}(2)$$
K
an
(
2
)
, then an analogous to Wedderburn Principal Theorem (WPT) holds.
Publisher
Springer Science and Business Media LLC
Subject
Computational Theory and Mathematics,Statistics, Probability and Uncertainty,General Mathematics
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