The theory of common meadows (algebraic structures with two binary operations and a total inverse) is extended to the non-commutative setting. The notion of skew common meadows is introduced as a generalization of common meadows in the non-commutative context. A relation between skew common meadows, rings and lattices is established. Within this framework it is proven how certain skew common meadows decompose into a product of simple skew common meadows.