In mathematics, a quasifield is an algebraic structure ( Q , + , ⋅ ) {\displaystyle (Q,+,\cdot )} where + {\displaystyle +} and ⋅ {\displaystyle \cdot } are binary operations on Q {\displaystyle Q} , much like a division ring, but with some weaker conditions. All division rings, and thus all fields, are quasifields.