DM-GAA

ISSN 1509-9415 (print version)

ISSN 2084-0373 (electronic version)

https://doi.org/10.7151/dmgaa

Discussiones Mathematicae - General Algebra and Applications

Cite Score (2023): 0.6

SJR (2023): 0.214

SNIP (2023): 0.604

Index Copernicus (2022): 121.02

H-Index: 5

Discussiones Mathematicae - General Algebra and Applications

Article in volume

Authors:

N. Satvong

Narakon Satvong

Department of Mathematics
Khon Kaen University, Khon Kaen 40002, Thailand
Centre of Excellence in Mathematics
CHE, Si Ayuttaya Rd., Bangkok 10400, Thailand

email: satvong1994@gmail.com

P. Luangchaisri

Panuwat Luangchaisri

Department of Mathematics
Khon Kaen University, Khon Kaen 40002, Thailand

email: desparadoskku@hotmail.com

T. Changphas

Thawhat Changphas

email: thacha@kku.ac.th

Title:

Radicals of generalized prime ideals in ternary semigroups

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Source:

Discussiones Mathematicae - General Algebra and Applications 42(2) (2022) 395-408

Received: 2020-10-28 , Revised: 2020-12-07 , Accepted: 2022-06-23 , Available online: 2022-10-05 , https://doi.org/10.7151/dmgaa.1398

Abstract:

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:

ternary semigroup, pseudo prime ideal, good mapping, $f$-prime ideal, left $f$-primary decomposition

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