What does overring mean?
Definitions for overring
over·ring
This dictionary definitions page includes all the possible meanings, example usage and translations of the word overring.
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Wikipedia
Overring
In mathematics, an overring B of an integral domain A is a subring of the field of fractions K of A that contains A: i.e., A ⊆ B ⊆ K {\displaystyle A\subseteq B\subseteq K} . For instance, an overring of the integers is a ring in which all elements are rational numbers, such as the ring of dyadic rationals. A typical example is given by localization: if S is a multiplicatively closed subset of A, then the localization S−1A is an overring of A. The rings in which every overring is a localization are said to have the QR property; they include the Bézout domains and are a subset of the Prüfer domains. In particular, every overring of the ring of integers arises in this way; for instance, the dyadic rationals are the localization of the integers by the powers of two.
Numerology
Chaldean Numerology
The numerical value of overring in Chaldean Numerology is: 4
Pythagorean Numerology
The numerical value of overring in Pythagorean Numerology is: 9
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"overring." Definitions.net. STANDS4 LLC, 2024. Web. 28 Apr. 2024. <https://www.definitions.net/definition/overring>.
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