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Wikipedia definition
1. Total quotient ringIn abstract algebra, the total quotient ring, or total ring of fractions, is a construction that generalizes the notion of the field of fractions of a domain to commutative rings that may have zero divisors. The construction embeds the ring in a larger ring, giving every non-zerodivisor of the smaller ring an inverse in the larger ring. Nothing more in the small ring can be given an inverse, because zero divisors are impossible to invert.
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