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