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Let $R$ be a commutative ring having regular elements and let $T$ be the total ring of fractions of $R$. \,Then \,$R \subseteq T$. \,Every subring of $T$ containing $R$ is an {\em overring} of $R$.
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Let $R$ be a commutative ring having \PMlinkname{non-zero-divisors}{ZeroDivisor} and let $T$ be the total ring of fractions of $R$. \,Then \,$R \subseteq T$. \,Every subring of $T$ containing $R$ is an {\em overring} of $R$.
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