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zbMATH Open
Article . 2022
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Radicals of generalized prime ideals in ternary semigroups

Radicals of generalized prime ideals in ternary semigroups
Authors: Satvong Narakon; Changphas Thawhat; Luangchaisri Panuwat;

Radicals of generalized prime ideals in ternary semigroups

Abstract

Summary: In this paper, the concepts of \(f\)-prime ideals and \(f\)-semiprime ideals on a ternary semigroup are considered as a generalization of pseudo prime ideals and pseudo semiprime ideals, respectively. Then such ideals introduced are used to describe left (respectively, right) \(f\)-primary ideals on a ternary semigroup.

Keywords

20n99, 20m12, Ideal theory for semigroups, ternary semigroup, pseudo prime ideal, f-prime ideal, good mapping, \(f\)-prime ideal, left \(f\)-primary decomposition, QA1-939, Ternary systems (heaps, semiheaps, heapoids, etc.), 03e75, left f-primary decomposition, 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
Average
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Published in a Diamond OA journal