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Part of book or chapter of book . 1987 . Peer-reviewed
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Part of book or chapter of book . 1990 . Peer-reviewed
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Part of book or chapter of book . 1990 . Peer-reviewed
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The Real and Complex Numbers

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1987Publisher:Springer New York
Authors: Serge Lang;

doi: 10.1007/978-1-4684-9234-7_9 , 10.1007/978-3-642-59275-1_9 , 10.1007/978-1-4757-6898-5_9

The Real and Complex Numbers

Abstract

Let R be an entire ring. By an ordering of R one means a subset P of R satisfying the following conditions: ORD 1. For every x ∈ R we have x ∈ P, or x = 0, or — x ∈ P, and these three possibilities are mutually exclusive. ORD 2. If x, y ∈ P then x + y ∈ P and xy ∈ P.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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Average
Average
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