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In mathematics, a quasifield is an algebraic structure where + and are binary operations on Q, much like a division ring, but with some weaker conditions. ==Definition== A quasifield is a structure, where + and are binary operations on Q, satisfying these axioms : * is a group * is a loop, where * (left distributivity) * has exactly one solution Strictly speaking, this is the definition of a ''left'' quasifield. A ''right'' quasifield is similarly defined, but satisfies right distributivity instead. A quasifield satisfying both distributive laws is called a semifield, in the sense in which the term is used in projective geometry. Although not assumed, one can prove that the axioms imply that the additive group is abelian. Thus, when referring to an ''abelian quasifield'', one means that is abelian. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「quasifield」の詳細全文を読む スポンサード リンク
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