{
  "abstract": "A Dehornoy structure is a tool used to obtain a left order in the Garside group G. Arcis and Paris introduced two conditions, known as Condition A and Condition B. When they are both satisfied, they ensure that G possesses a Dehornoy structure. These two conditions describes how the product in the corresponding monoid behaves with an alternating decomposition. Here, we consider the case of a spherical type Artin group G. We prove that Condition A almost always holds, but Condition B is rarely satisfied.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "name": "Jean Fromentin"
    },
    {
      "name": "Eddy Godelle"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e3mfa0a16az5n.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "e3mfa0a16az5n",
  "issns": [],
  "landing_url": "https://hal.science/hal-05738204v1",
  "language": "en",
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.math.math-gr"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05738204/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e3mfa0a16az5n.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:27Z",
      "native_id": "hal-05738204",
      "source": "hal",
      "url": "https://hal.science/hal-05738204v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-gr",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Alternating decomposition of a product in a spherical type Artin-Tits monoid",
  "title_text": "Alternating decomposition of a product in a spherical type Artin-Tits monoid",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:27Z",
  "url": "https://research.draconitic.com/paper/e3mfa0a16az5n",
  "venue": "HAL",
  "versions": []
}