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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 Acta Mathematica Sin...arrow_drop_down
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Acta Mathematica Sinica English Series
Article . 1991 . Peer-reviewed
License: Springer TDM
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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
zbMATH Open
Article . 1991
Data sources: zbMATH Open
https://dx.doi.org/10.1007/bf0...
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All retraction operators on a complete lattice form a complete lattice

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1991 English Publisher:Springer Science and Business Media LLCJournal:Acta Mathematica Sinica, volume 7, pages 247-251 (issn: 1439-8516, eissn: 1439-7617, Copyright policy )
Authors: Li, Boyu;

doi: 10.1007/bf02583001

All retraction operators on a complete lattice form a complete lattice

Abstract

Summary: \textit{H. Crapo} [J. Pure Appl. Algebra 23, 13-28 (1982; Zbl 0474.06004)] raised the following problem: If P is a complete lattice, is Retr(P) a complete lattice? Here Retr(P) denotes the set of all retraction operators on P with the pointwise order, that is, \(f\leq g\) in Retr(P) iff f(x)\(\leq g(x)\) for every x in P. An affirmative answer is given in the present paper.

Related Organizations
Keywords

complete lattice, retraction operators, Complete lattices, completions

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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!
3
Average
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