k-Simplicity of Leavitt Path Algebras with Coefficients in a k-Semifield
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 LS(Γ) of a directed graph Γ over a non-zeroid k-semifield S.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2022-10-01
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| Series: | Discussiones Mathematicae - General Algebra and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgaa.1388 |
| _version_ | 1827837735542456320 |
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| author | Gupta Raibatak Sen Sen M.K. |
| author_facet | Gupta Raibatak Sen Sen M.K. |
| author_sort | Gupta Raibatak Sen |
| collection | DOAJ |
| description | 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 LS(Γ) of a directed graph Γ over a non-zeroid k-semifield S. |
| first_indexed | 2024-03-12T06:51:19Z |
| format | Article |
| id | doaj.art-84a0739bca934980b8c39a4b419364b9 |
| institution | Directory Open Access Journal |
| issn | 2084-0373 |
| language | English |
| last_indexed | 2024-03-12T06:51:19Z |
| publishDate | 2022-10-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | Discussiones Mathematicae - General Algebra and Applications |
| spelling | doaj.art-84a0739bca934980b8c39a4b419364b92023-09-03T00:16:14ZengUniversity of Zielona GóraDiscussiones Mathematicae - General Algebra and Applications2084-03732022-10-0142224125310.7151/dmgaa.1388k-Simplicity of Leavitt Path Algebras with Coefficients in a k-SemifieldGupta Raibatak Sen0Sen M.K.1Department of Mathematics, Bejoy Narayan Mahavidyalaya, Itachuna, Hooghly, West Bengal, India-712147Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata-700019, IndiaIn 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 LS(Γ) of a directed graph Γ over a non-zeroid k-semifield S.https://doi.org/10.7151/dmgaa.1388leavitt path algebrak-semifieldsemiringsemifieldk-simplicity16s8816y6016d2516d9916g9916s10 |
| spellingShingle | Gupta Raibatak Sen Sen M.K. k-Simplicity of Leavitt Path Algebras with Coefficients in a k-Semifield Discussiones Mathematicae - General Algebra and Applications leavitt path algebra k-semifield semiring semifield k-simplicity 16s88 16y60 16d25 16d99 16g99 16s10 |
| title | k-Simplicity of Leavitt Path Algebras with Coefficients in a k-Semifield |
| title_full | k-Simplicity of Leavitt Path Algebras with Coefficients in a k-Semifield |
| title_fullStr | k-Simplicity of Leavitt Path Algebras with Coefficients in a k-Semifield |
| title_full_unstemmed | k-Simplicity of Leavitt Path Algebras with Coefficients in a k-Semifield |
| title_short | k-Simplicity of Leavitt Path Algebras with Coefficients in a k-Semifield |
| title_sort | k simplicity of leavitt path algebras with coefficients in a k semifield |
| topic | leavitt path algebra k-semifield semiring semifield k-simplicity 16s88 16y60 16d25 16d99 16g99 16s10 |
| url | https://doi.org/10.7151/dmgaa.1388 |
| work_keys_str_mv | AT guptaraibataksen ksimplicityofleavittpathalgebraswithcoefficientsinaksemifield AT senmk ksimplicityofleavittpathalgebraswithcoefficientsinaksemifield |