  We introduce the notion of isoclinism between central extensions in the
category of algebras with bracket. We provide several equivalent conditions
under which algebras with bracket are isoclinic. We also study the connection
between isoclinism and the Schur multiplier of algebras with bracket. It is
shown that for finite-dimensional central extensions of algebras with bracket
with same dimension, the notion of isoclinism and isomorphism are equivalent.
Furthermore, we indicate that all stem covers of an algebra with bracket are
isoclinic.
