{
  "abstract": "In this paper, we study Zhang twist of Leavitt path algebra $L_K(E)$ using a graded automorphism $σ$ induced by a graph automorphism such that the twisted algebra is a Leavitt path algebra over another graph $E_σ$ which is a twisted graph obtained from the original graph $E$. We establish combinatorial connection between the graphs $E$ and $E_σ$ and as a consequence, we show that many ring-theoretic properties are invariant for Leavitt path algebras under the twist by $σ$. We also define the notion of noncommutative projective scheme for $\\mathbb Z$-graded algebras that coincides with the notion of noncommutative projective scheme for connected $\\mathbb N$-graded algebras defined by Artin and Zhang and study it in the context of twists of Leavitt path algebras.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.24836",
  "author_total": 2,
  "authors": [
    {
      "name": "Tran Giang Nam"
    },
    {
      "name": "Ashish K Srivastava"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/005bpjxfrp4bz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.24836",
  "fulltext_url": null,
  "id": "005bpjxfrp4bz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.24836",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.RA"
    ],
    [
      "openalex",
      "2602|Rings, Modules, and Algebras"
    ]
  ],
  "openalex": "W7214057167",
  "pdf_url": "https://arxiv.org/pdf/2609.24836",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/005bpjxfrp4bz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.24836",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.24836"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "When twist of a Leavitt path algebra is again a Leavitt path algebra",
  "title_text": "When twist of a Leavitt path algebra is again a Leavitt path algebra",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/005bpjxfrp4bz",
  "venue": "arXiv",
  "versions": []
}