Let ${\frak g} $ be a finite dimensional Lie superalgebra over a field of characteristic zero.
Let $ U ({\frak g}) $ be the enveloping algebra of ${\frak g} $. We show that when ${\frak g} …

Let L be an arbitrary Lie superalgebra over a field of characteristic different from 2. Denote
by $\omega u (L) $ the ideal generated by L in its universal enveloping algebra $ U (L) $. It …

Let L be a restricted Lie superalgebra with its restricted enveloping algebra u (L) over a field
F of characteristic p> 2. Then u (L) can be viewed both as a Lie algebra and a Lie …

We survey some recent results on prime and primitive ideals in enveloping algebras of Lie
superalgebras We denote the enveloping algebra of a Lie superalgebra g by U (g)(see …

Semisimplicity of restricted enveloping algebras of Lie superalgebras Page 1 Pacific Journal of
Mathematics SEMISIMPLICITY OF RESTRICTED ENVELOPING ALGEBRAS OF LIE …

Let L be a Lie superalgebra over a field of characteristic p≠ 2 with enveloping algebra U (L)
or let L be a restricted Lie superalgebra over a field of characteristic p> 2 with restricted …

Abstract Let L= L 0⊕ L 1 be a Lie superalgebra over a field K of characteristic 0 with
enveloping algebra U (L) or let L be a restricted Lie superalgebra over a field K of …

We show that if the determinant of a certain matrix obtained from the Lie product on the odd
part of a Lie superalgebra is nonzero, then the enveloping algebra of the Lie superalgebra is …

Bell’s primeness criterion and the simple Lie superalgebras Page 1 JOURNAL OF PURE AND
Journal of Pure and Applied Algebra 133 (1998) 241-260 APPLIED ALGEBRA Bell’s primeness …

Let L be a Lie superalgebra with its enveloping algebra U (L) over a field F. A polynomial
identity is called non-matrix if it is not satisfied by the algebra of 2× 2 matrices over F. We …