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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Semigroup Forum
Article . 1986 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1986
Data sources: zbMATH Open
https://dx.doi.org/10.1007/bf0...
Article
Data sources: Microsoft Academic Graph
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Absolute flatness and amalgams in pomonoids

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1986 Germany English Publisher:Springer Science and Business Media LLCJournal:Semigroup Forum, volume 33, pages 15-22 (issn: 0037-1912, eissn: 1432-2137, Copyright policy )
Authors: Fakhruddin, S.M.;

doi: 10.1007/bf02573178

Absolute flatness and amalgams in pomonoids

Abstract

We define a tensor product for partially ordered sets acted on by a partially ordered monoid and study the related property of absolute flatness. As a by-product we show that a partially ordered commutative group is a strong amalgamation base in the category of partially ordered commutative monoids. This result originally due to Schreier in the case of groups has been generalized to include the case of monoids by Hall and Howie.

Country
Germany
Related Organizations
Keywords

510.mathematics, partially ordered commutative group, Partial orders, general, absolute flatness, tensor product for partially ordered sets, partially ordered commutative monoids, Ordered semigroups and monoids, strong amalgamation base, Ordered abelian groups, Riesz groups, ordered linear spaces, Article

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    selected citations
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    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).
    		 30
    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.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
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!
30
Top 10%
Top 10%
Average
Green