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Title:A new approach to universal F-inverse monoids in enriched signature
Authors:ID Kudryavtseva, Ganna (Author)
ID Lemut Furlani, Ajda (Author)
Files:.pdf PDF - Presentation file, download (347,64 KB)
MD5: 8BC86DECDD2A8C17712D8BE633DC1036
 
URL URL - Source URL, visit https://link.springer.com/article/10.1007/s00025-024-02291-4
 
Language:English
Typology:1.01 - Original Scientific Article
Organization:Logo IMFM - Institute of Mathematics, Physics, and Mechanics
Abstract:We show that the universal X-generated F-inverse monoid F(G), where G is an X-generated group, introduced by Auinger, Szendrei and the first-named author, arises as a quotient inverse monoid of the Margolis-Meakin expansion M(G,X∪¯G) of G, with respect to the extended generating set X∪¯G, where ¯G is a bijective copy of G which encodes the m-operation in F(G). The construction relies on a certain dual-closure operator on the semilattice of all finite and connected subgraphs containing the origin of the Cayley graph Cay(G,X∪¯G) and leads to a new and simpler proof of the universal property of F(G).
Keywords:inverse monoid, F-inverse monoid, Margolis-Meakin expansion, group presentation, Cayley graph of a group, closure operator, dual-closure operator, partial action, partial action product
Publication status:Published
Publication version:Version of Record
Publication date:01.11.2024
Year of publishing:2024
Number of pages:13 str.
Numbering:Vol. 79, iss. 7, [article no.] 260
PID:20.500.12556/DiRROS-20546 New window
UDC:512
ISSN on article:1422-6383
DOI:10.1007/s00025-024-02291-4 New window
COBISS.SI-ID:211681795 New window
Note:
Publication date in DiRROS:21.10.2024
Views:254
Downloads:112
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KUDRYAVTSEVA, Ganna and LEMUT FURLANI, Ajda, 2024, A new approach to universal F-inverse monoids in enriched signature. Results in mathematics [online]. 2024. Vol. 79, no. 7,  260. [Accessed 21 April 2025]. DOI 10.1007/s00025-024-02291-4. Retrieved from: https://dirros.openscience.si/IzpisGradiva.php?lang=eng&id=20546
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Record is a part of a journal

Title:Results in mathematics
Shortened title:Results math.
Publisher:Springer Nature
ISSN:1422-6383
COBISS.SI-ID:514963225 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P1-0288
Name:Algebra in njena uporaba

Secondary language

Language:Slovenian
Keywords:inverzni monoid, F-invezni monoid, Margolis-Meakin razširjanje, grupna prezentacija, Cayleyjev graf grupe, operator zaprtja, dualni operator zaprtja, parcialno delovanje, produkt glede na parcialno delovanje


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