fieldnoun Pronunciation: /fiːld/ Definition: Field is an algebraic structure defined as 7-tuple of set, binary operations on this set (addition and multiplication), two unary operations (multiplicative inverse) and two nullary operations (0 and 1). With folowing axioms:
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Field of fractionsnoun pronunciation: [ fēld əv ˈfrakSHəns ] synonyms: fraction field, field of quotients, or quotient field meaning: Field of fractions of an integral domain is the smallest field in which it can be embedded. The elements of the field of fractions of the integral domain examples: The field of fractions of the ring of integers is the field of rationals, i.e. Given a field |