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Ring of quotients : ウィキペディア英語版 | Ring of quotients In ring theory, just as we can extend the ring Z of integers into the ring Q of rational numbers using vulgar fractions, we can also extend a ring R to a larger ring Q containing R such that Q contains the inverses of every regular element of R and Q is a ring of fractions in the sense that every element of Q can be expressed as a fraction of two elements of R (i.e. the product of an element of R together with the inverse of a regular element of R) If R is an integral domain (that is, has no zero-divisors), then Q will be a field, the field of fractions. == See also ==
*fraction (mathematics) *rational number
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