Definition:Total Ring of Fractions

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Definition

Let $A$ be a commutative ring with unity.


The total ring of fractions of $A$ is the localization of $A$ at the set of its regular elements.


Also known as

The total ring of fractions of $A$ is also known as the total quotient ring of $A$. This should not be confused with quotient ring.


Also see


Special cases


Sources