field of fractions

noun

(algebra, ring theory) The smallest field in which a given ring can be embedded.

The field of fractions is a fundamental concept in algebra.

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意味（1）

(algebra, ring theory) The smallest field in which a given ring can be embedded.

The general construction of the field of fractions ℚ_R out of R is an exact parallel of the construction of the field of rational numbers ℚ out of the ring of integers ℤ.

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field of fractions

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