Quasifield

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

A quasifield ${\displaystyle (Q,+,\cdot )}$ is a structure, where + and ${\displaystyle \cdot \,}$ are binary operations on Q, satisfying these axioms :

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