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Ring of quotients
In ring theory, just as we can extend the ring Z of integers into the ring Q of rational numbers using 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)
See also fraction, rational number
Last updated: 08-29-2005 22:43:50
03-10-2013 05:06:04
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details