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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 Journal of Intellige...arrow_drop_down
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
DBLP
Article . 2018
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Integral hoops and integral filters

Authors: Mei Wang; Xiaolong Xin 0001; Juntao Wang 0001;

Integral hoops and integral filters

Abstract

In this paper, we introduced a new class of hoops, which are called integral hoops. In order to portray integral hoops, we introduced a new type of filters, named integral filters. We consider fundamental properties of integral hoops and integral filters and give some characterizations of them. Also, we discuss the relations between integral hoops and other types of hoops and prove that an integral hoop is a prefect and local hoop. Especially, we proved that every cancellative hoop is an integral hoop but the converse is not true. Finally, we discuss the relations between integral filters and some types of filters (obstinate, primary, prefect filters) in hoops and prove a filter F is an integral filter if and only if L / F is an integral hoop.

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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!
2
Average
Average
Average
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