While homology theory of associative structures, such as groups and rings, has been extensively studied in the past beginning with the work of Hurewicz, Hopf, Eilenberg, and Hochschild, the non-associative structures, such as racks, quandles, or entropic magmas, were neglected until recently. The distributive structures have been studied for a long time and even C.S. Peirce in 1880 emphasized the importance of (right) self-distributivity in algebraic structures. However, homol- ogy for such universal algebras was introduced only between 1990 and 1995 by Fenn, Rourke, and Sanderson. We develop theory in the his- torical context and propose a general framework to study homology of distributive structures. We also speculate how to define homology of entropic magmas. We outline potential relations to Khovanov homol- ogy and categorification, via Yang-Baxter operators We use here the fact that Yang-Baxter equation can be thought of as a generalization of self-distributivity.