Quotients of Leavitt path algebras over rings by $I$-basic graded ideals
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929262140850176 |
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| author | Harman, Sevgi Kanuni, Müge de Salas, Guillermo Vera |
| author_facet | Harman, Sevgi Kanuni, Müge de Salas, Guillermo Vera |
| contents | In this paper, the quotient of a Leavitt path algebra of an arbitrary graph by an $I$-basic graded ideal, and the quotient of a Leavitt path algebra of a row-finite graph by an arbitrary graded ideal are considered. The result of the quotient of a Leavitt path algebra by an arbitrary graded ideal is extended by using the function $φ$. Examples are given to illustrate the results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04155 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quotients of Leavitt path algebras over rings by $I$-basic graded ideals Harman, Sevgi Kanuni, Müge de Salas, Guillermo Vera Rings and Algebras 16S88, 16D25, 16W50 In this paper, the quotient of a Leavitt path algebra of an arbitrary graph by an $I$-basic graded ideal, and the quotient of a Leavitt path algebra of a row-finite graph by an arbitrary graded ideal are considered. The result of the quotient of a Leavitt path algebra by an arbitrary graded ideal is extended by using the function $φ$. Examples are given to illustrate the results. |
| title | Quotients of Leavitt path algebras over rings by $I$-basic graded ideals |
| topic | Rings and Algebras 16S88, 16D25, 16W50 |
| url | https://arxiv.org/abs/2402.04155 |