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Mathematics
Article . 2022 . Peer-reviewed
License: CC BY
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Mathematics
Article
License: CC BY
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Mathematics
Article . 2022
Data sources: DOAJ
Multidisciplinary Digital Publishing Institute
Other literature type . 2022
License: CC BY
Data sources: Multidisciplinary Digital Publishing Institute
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On Cyclic Associative Semihypergroups and Neutrosophic Extended Triplet Cyclic Associative Semihypergroups

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 09 Feb 2022 English Publisher:MDPI AGJournal:Mathematics, volume 10, page 535 (eissn: 2227-7390, Copyright policy )
Authors: Minghao Hu; Xiaohong Zhang;

doi: 10.3390/math10040535

On Cyclic Associative Semihypergroups and Neutrosophic Extended Triplet Cyclic Associative Semihypergroups

Abstract

This paper introduces a new concept called cyclic associative semihypergroup (CA-semihypergroup). The relationships among CA-semihypergroups, Semihypergroups and LA-semihypergroups are studied through some interesting examples. The relationships among various NET-CA-semihypergroups are also studied. The main properties of strong pure neutrosophic extended triplet CA-semihypergroups (SP-NET-CA-semihypergroups) are obtained. In particular, the algorithm of a generated CA-semihypergroup of order tm+n by two known CA-semihypergroups of order m and n is proven, and a CA-semihypergroup of order 19 is obtained by using a Python program. Moreover, it is proven that five different definitions, which can all be used as the definition of SP-NET-CA-Semihypergroup, are equivalent.

Related Organizations
Keywords

CA-semihypergroup, NET-CA-semihypergroup, QA1-939, semihypergroup, LA-semihypergroup, SP-NET-CA-semihypergoup, Mathematics

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    influence
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    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!
8
Top 10%
Average
Top 10%
gold