scholarly journals Wedderburn principal theorem for Jordan superalgebras I

2018 ◽  
Vol 505 ◽  
pp. 1-32 ◽  
Author(s):  
F.A. Gómez-González
Keyword(s):  
Jordan Superalgebras ◽  
Principal Theorem

Cayley Symmetries in Associative Algebras

1963 ◽  
Vol 15 ◽  
pp. 285-290 ◽  
Author(s):  
Earl J. Taft
Keyword(s):  
Associative Algebra ◽  
Associative Algebras ◽  
Wedderburn Decomposition ◽  
Finite Dimensional ◽  
Principal Theorem ◽  
Algebra Over A Field

Let A be a finite-dimensional associative algebra over a field F. Let R denote the radical of A. Assume that A/R is separable. Then it is well known (the Wedderburn principal theorem) that A possesses a Wedderburn decomposition A = S + R (semi-direct), where S is a separable subalgebra isomorphic with A/R. We call S a Wedderburn factor of A.

Ternary Derivations of Jordan Superalgebras

2014 ◽  
Vol 53 (4) ◽  
pp. 323-348 ◽  
Author(s):  
A. I. Shestakov
Keyword(s):  
Jordan Superalgebras
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