  Brundan and Kleshchev recently introduced a new family of presentations of
the Yangian Y(gl_n) associated to the general linear Lie algebra gl_n, and thus
provided a fresh approach to its study. In this article, we show how some of
their ideas can be fruitfully extended to consider the Yangian Y(gl_{m|n})
associated to the Lie superalgebra gl_{m|n}. In particular, we give a new proof
of the result by Nazarov that the quantum Berezinian is central.
