TITLE: Is there a cohomology for magmas?
QUESTION [8 upvotes]: Is there a cohomology theory for magmas? Or cohomology theories for any class of non-associative algebras (other than Lie and maybe Jordan)?

REPLY [3 votes]: Eilenberg S., Mac Lane S., Algebraic cohomology groups and loops, Duke Math. J.
14 (1947), 435-463.
Johnson K.W., Leedham-Green C.R., Loop cohomology, Czech. Math. J. 40 (1990),
182-194.