  An anti-associative algebra is a nonassociative algebra whose multiplication
satisfies the identity a(bc)+(ab)c=0. Such algebras are nilpotent. We describe
the free anti-associative algebras with a finite number of generators. Other
types of nonassociative algebras, obtained either by the process of
polarization, such as Jacobi-Jordan algebras, or obtained by deformation
quantization, are associated with this class of algebras. Following Markl-Remms
work, we describe the operads associated with these algebra classes and in
particular the cohomology complexes in relation to deformations.
