What does overing mean?

Definitions for overing
over·ing

This dictionary definitions page includes all the possible meanings, example usage and translations of the word overing.


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Wikipedia

  1. Overing

    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.

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Numerology

  1. Chaldean Numerology

    The numerical value of overing in Chaldean Numerology is: 2

  2. Pythagorean Numerology

    The numerical value of overing in Pythagorean Numerology is: 9


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"overing." Definitions.net. STANDS4 LLC, 2024. Web. 29 Apr. 2024. <https://www.definitions.net/definition/overing>.

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