A.D. Bell: Abstract
## A criterion for primeness of enveloping algebras of
Lie superalgebras

### Author(s)

Allen D. Bell
### Publication Information

Appeared in
* Journal of Pure and Applied Algebra* ** 69** (1990),
pp. 111-120

Math Reviews:
92b:17014
### Abstract (in LaTeX)

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 a prime
ring. We then apply this criterion to show that the enveloping
algebra of a classical simple Lie superalgebra not of type $b(n)$
is a prime ring.

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