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. Sarasit

Napaporn Sarasit

Division of Mathematics
Faculty of Engineering, Rajamangala University of Technology Isan
Khon Kaen Campus, Khon Kaen 40000, Thailand

email: napaporn.sr@rmuti.ac.th

R. Chinram

Ronnason Chinram

Division of Computational Science
Faculty of Science, Prince of Songkla University
Hat Yai, Songkhla 90110, Thailand

email: ronnason.c@psu.ac.th

Title:

$(f,g)$-derivation of ordered ternary semirings

PDF

Source:

Discussiones Mathematicae - General Algebra and Applications 43(1) (2023) 149-159

Received: 2021-07-07 , Revised: 2021-08-04 , Accepted: 2022-05-04 , Available online: 2023-01-11 , https://doi.org/10.7151/dmgaa.1413

Abstract:

In this paper, we introduce the concept of an $(f, g)$-derivation of ternary semirings and we study its properties in ordered ternary semirings. We prove that if $d$ is an $(f, g)$-derivation of an ordered ternary semiring $S$, then the kernel of $d$ is a $k$-ideal of $S$. Moreover, we show that the kernel and the set of all fixed points of $d$ are $m$-$k$-ideals of $S$.

Keywords:

ordered ternary semiring, derivation, integral ordered ternary semiring

References:

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