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: 0.4

SJR: 0.203

SNIP: 0.562

MCQ: 0.12

Index Copernicus: 121.02

Discussiones Mathematicae - General Algebra and Applications

Article in volume


Authors:

R. Sen Gupta

Raibatak Sen Gupta

Department of Mathematics
Bejoy Narayan Mahavidyalaya
Itachuna, Hooghly, West Bengal, India-712147

email: raibatak2010@gmail.com

M.K. Sen

Mridul K. Sen

Department of Pure Mathematics
University of Calcutta
35, Ballygunge Circular Road, Kolkata-700019, India

email: senmk6@yahoo.com

Title:

$k$-simplicity of Leavitt Path Algebras with coefficients in a $k$-semifield

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Source:

Discussiones Mathematicae - General Algebra and Applications 42(2) (2022) 241-253

Received: 2020-02-17 , Revised: 2021-01-20 , Accepted: 2022-03-10 , Available online: 2022-10-05 , https://doi.org/10.7151/dmgaa.1388

Abstract:

In this paper, we consider Leavitt path algebras having coefficients in a $k$-semifield. Concentrating on the aspect of $k$-simplicity, we find a set of necessary and sufficient conditions for the $k$-simplicity of the Leavitt path algebra $L_S(Γ)$ of a directed graph $Γ$ over a non-zeroid $k$-semifield $S$.

Keywords:

Leavitt path algebra, $k$-semifield, semiring, semifield, $k$-simplicity

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