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Discussiones Mathematicae - General Algebra and Applications
Article . 2022 . Peer-reviewed
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Discussiones Mathematicae - General Algebra and Applications
Article . 2022
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Prime ideals of transitive BE-algebras

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2022 English Publisher:University of Zielona Góra, PolandJournal:Discussiones Mathematicae - General Algebra and Applications, volume 42, page 97 (issn: 1509-9415, eissn: 2084-0373, Copyright policy )
Authors: Prabhakar M. Bala; Vali S. Kalesha; Rao M. Sambasiva;

doi: 10.7151/dmgaa.1383

Prime ideals of transitive BE-algebras

Abstract

The notion of prime ideals is introduced in transitive BE-algebras. Prime ideals are characterized with the help of principal ideals. Prime ideal theorem is stated and derived for BE-algebras. The concept of minimal prime ideals is introduced in transitive BE-algebras. A decomposition theorem of proper ideals into minimal prime ideals is derived.

Keywords

transitive be-algebra, 03g25, QA1-939, ideal, prime ideal, maximal ideal, Mathematics

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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!
0
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