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:

M. Mandal

Manasi Mandal

Department of Mathematics, Jadavpur
University, Kolkata-700032, India

email: manasi_ju@yahoo.in

0000-0002-3927-4207

N. Tamang

Nita Tamang

Department of Mathematics
University of North Bengal, Siliguri-734013, India

email: nita_anee@yahoo.in

S. Das

Sampad Das

Department of Mathematics, Jadavpur
University, Kolkata-700032, India

email: jumathsampad@gmail.com

0000-0001-7602-1842

Title:

On 3-prime and quasi 3-primary ideals of ternary semirings

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Source:

Discussiones Mathematicae - General Algebra and Applications 44(1) (2024) 163-175

Received: 2021-12-31 , Revised: 2023-01-11 , Accepted: 2022-01-11 , Available online: 2024-03-25 , https://doi.org/10.7151/dmgaa.1434

Abstract:

The purpose of this paper is to introduce the concept of 3-prime ideal as a generalization of prime ideal. Further, we generalize the concepts of 3-prime ideal and primary ideal, namely as quasi 3-primary ideal in a commutative ternary semiring with zero. The relationship among prime ideal, 3-prime ideal, primary ideal, quasi primary and quasi 3-primary ideal are investigated. Various results and examples concerning 3-prime ideals and quasi 3-primary ideals are given. Analogous theorems to the primary avoidance theorem for quasi 3-primary ideals are also studied.

Keywords:

ternary semiring, regular ternary semiring, 3-prime ideals, quasi 3-primary ideals

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