Leavitt Path Algebra over Kronecker Square of Quivers and Cross product algebra
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913168529293312 |
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| author | Alarfaj, Jehan Barquero, Dolores Martín Srivastava, Ashish K. |
| author_facet | Alarfaj, Jehan Barquero, Dolores Martín Srivastava, Ashish K. |
| contents | In this paper, we initiate the study of Leavitt path algebra over Kronecker square of a quiver and show the similarities and contrasts in the properties of Leavitt path algebra over a quiver and its Kronecker square. Furthermore, we discuss the connection of Leavitt path algebra over Kronecker square of a quiver with Hayashi's face algebra and the cross product algebra construction of the Leavitt path algebra over the original quiver. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_18184 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Leavitt Path Algebra over Kronecker Square of Quivers and Cross product algebra Alarfaj, Jehan Barquero, Dolores Martín Srivastava, Ashish K. Rings and Algebras 16S88 In this paper, we initiate the study of Leavitt path algebra over Kronecker square of a quiver and show the similarities and contrasts in the properties of Leavitt path algebra over a quiver and its Kronecker square. Furthermore, we discuss the connection of Leavitt path algebra over Kronecker square of a quiver with Hayashi's face algebra and the cross product algebra construction of the Leavitt path algebra over the original quiver. |
| title | Leavitt Path Algebra over Kronecker Square of Quivers and Cross product algebra |
| topic | Rings and Algebras 16S88 |
| url | https://arxiv.org/abs/2503.18184 |