total ring of fractions
For a commutative ring having regular elements, we may form , the total ring of fractions (quotients) of , as the localization of at , where is the set of all non-zero-divisors of . Then, can be regarded as an extension ring of (similarly as the field of fractions of an integral domain is an extension ring). has the non-zero unity 1.
|Title||total ring of fractions|
|Date of creation||2013-03-22 14:22:31|
|Last modified on||2013-03-22 14:22:31|
|Last modified by||pahio (2872)|
|Synonym||total ring of quotients|