Academic Journal
Inverse Artin monoids and partial braid realizations.
| Τίτλος: | Inverse Artin monoids and partial braid realizations. |
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| Συγγραφείς: | Duan, Bing1 (AUTHOR) duanbing@lzu.edu.cn |
| Πηγή: | Semigroup Forum. Aug2025, Vol. 111 Issue 1, p85-108. 24p. |
| Θεματικοί όροι: | *Monoids, *Mutations (Algebra), *Mathematical category theory |
| Περίληψη: | We introduce a family of inverse monoids and refer to them as inverse Artin monoids associated to Boolean reflection monoids, and give their partial braid realizations. The construction is the same spirit as the one of inverse braid monoids with respect to symmetric inverse monoids. Inverse Artin monoids recover Easdown–Lavers' inverse braid monoid (in type A) and the inverse braid monoid of type B in the sense of Vershinin (in type B). We obtain a family of presentations of inverse Artin monoids of type A by cluster mutations. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: | Academic Search Index |
| FullText | Links: – Type: other Text: Availability: 0 CustomLinks: – Url: https://dx.doi.org/doi:10.1007/s00233-025-10550-1 Name: EDS - Springer Nature Journals (s7799221) Category: fullText Text: View record at Springer |
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| Header | DbId: asx DbLabel: Academic Search Index An: 187673790 RelevancyScore: 1377 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 1377.33666992188 |
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| Items | – Name: Title Label: Title Group: Ti Data: Inverse Artin monoids and partial braid realizations. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Duan%2C+Bing%22">Duan, Bing</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> duanbing@lzu.edu.cn</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Semigroup+Forum%22">Semigroup Forum</searchLink>. Aug2025, Vol. 111 Issue 1, p85-108. 24p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22Monoids%22">Monoids</searchLink><br />*<searchLink fieldCode="DE" term="%22Mutations+%28Algebra%29%22">Mutations (Algebra)</searchLink><br />*<searchLink fieldCode="DE" term="%22Mathematical+category+theory%22">Mathematical category theory</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We introduce a family of inverse monoids and refer to them as inverse Artin monoids associated to Boolean reflection monoids, and give their partial braid realizations. The construction is the same spirit as the one of inverse braid monoids with respect to symmetric inverse monoids. Inverse Artin monoids recover Easdown–Lavers' inverse braid monoid (in type A) and the inverse braid monoid of type B in the sense of Vershinin (in type B). We obtain a family of presentations of inverse Artin monoids of type A by cluster mutations. [ABSTRACT FROM AUTHOR] |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=asx&AN=187673790 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00233-025-10550-1 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 24 StartPage: 85 Subjects: – SubjectFull: Monoids Type: general – SubjectFull: Mutations (Algebra) Type: general – SubjectFull: Mathematical category theory Type: general Titles: – TitleFull: Inverse Artin monoids and partial braid realizations. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Duan, Bing IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 08 Text: Aug2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 00371912 Numbering: – Type: volume Value: 111 – Type: issue Value: 1 Titles: – TitleFull: Semigroup Forum Type: main |
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