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arXiv.org e-Print Archive
Preprint . 2019
Data sources: arXiv.org e-Print Archive
Communications in Algebra
Article . 2020 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2019
License: arXiv Non-Exclusive Distribution
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https://dx.doi.org/10.1080/009...
Article
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On semisimple semirings

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 30 Oct 2020Embargo end date: 01 Jan 2019 English Publisher:Informa UK LimitedJournal:Communications in Algebra, volume 49, pages 1,295-1,313 (issn: 0092-7872, eissn: 1532-4125, Copyright policy )
Authors: Abuhlail, Jawad Y.; Noegraha, Rangga Ganzar;

doi: 10.1080/00927872.2020.1834569 , 10.48550/arxiv.1908.00516

arXiv: 1908.00516

On semisimple semirings

Abstract

We investigate ideal-semisimple and congruence-semisimple semirings. We give several new characterizations of such semirings using e-projective and e-injective semimodules. We extend several characterizations of semisimple rings to (not necessarily subtractive) commutative semirings.

arXiv admin note: text overlap with arXiv:1904.01549

Related Organizations
Keywords

Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Rings and Algebras, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), 16D60, 16D40, 16D50

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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).
    		 3
    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).
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    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!
3
Top 10%
Average
Average
Green