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Other literature type . 2014
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Tsukuba Journal of Mathematics
Article . 2014 . Peer-reviewed
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Partially ordered rings

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jul 2014Publisher:Institute of Mathematics, University of TsukubaJournal:Tsukuba Journal of Mathematics, volume 38 (issn: 0387-4982, Copyright policy )
Authors: Kitamura, Yoshimi; Tanaka, Yoshio;

doi: 10.21099/tkbjm/1407938671

Partially ordered rings

Abstract

We shall consider partially ordered rings as a generalization of ordered rings. We give properties or related matters of partially ordered rings, using convex ideals or non-negative semicones. Also, we consider order-preserving isomorphisms between residue class rings which are partially ordered rings.

Keywords

residue class ring, 06A06, partially ordered ring, 06F25, convex ideal, 46E25, non-negative semi-cone, order-preserving homomorphism, continuous function

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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!
2
Average
Top 10%
Average
Green