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Dual Number Meadows

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 25 Jun 2019 Netherlands Publisher:TransmathematicaJournal:Transmathematica (eissn: 2632-9212, Copyright policy )
Authors: Bergstra, J.A.;

doi: 10.36285/tm.v0i0.11 , 10.6084/m9.figshare.11968215.v1 , 10.6084/m9.figshare.11968215

handle: 11245.1/29c06960-e038-46b7-a51c-fb99d1875645

Abstract

The class of dual number meadows is introduced. By definition this class is a quasivariety. Dual number meadows contain a non-zero element the square of which is zero. These structures are non-involutive and coregular. Some properties of the equational theory of dual number meadows are discussed and an initial algebra specification is given for the minimal dual number meadow of characteristic zero which contains the dual rational numbers. Several open problems are stated.

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Netherlands
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004, 510

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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!
1
Average
Average
Average
Green
gold
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