| 释义 |
ˈsemi-field Math.
[semi- 8 a.]
Used variously to denote a set, together with operations answering to addition and multiplication, that has certain specified properties of a field but not all of them.
1923Ann. Math. XXIV. 240 A set D which satisfies these postulates will be called a semi-field. 1966Math. Rev. XXXI. 39/2 A semifield is essentially an algebraic structure which satisfies all field axioms except perhaps associativity and commutativity of multiplication; the more customary terminologies are ‘division ring’ (not necessarily associative) and ‘distributive quasifield’. |