$F$-congruences on $F$-inverse monoids

[2608.15114] $F$-congruences on $F$-inverse monoids Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Mathematics > Rings and Algebras arXiv:2608.15114 (math) [Submitted on 15 Aug 2026] Title: $F$-congruences on $F$-inverse monoids Authors: Ajda Lemut Furlani View a PDF of the paper titled $F$-congruences on $F$-inverse monoids, by Ajda Lemut Furlani View PDF HTML (experimental) Abstract: We study the class of congruences on $F$-inverse monoids that respect the unary operation $a\mapsto\mx{a}$, assigning to each element the maximum element of its $\sigma$-class, which we refer to as $F$-congruences. We characterize kernel normal systems and congruence pairs on $F$-inverse monoids which give rise to such congruences and establish a number of further related results including a classification of $F$-congruence-free $F$-inverse monoids. Comments: 12 pages Subjects: Rings and Algebras (math.RA) ; Group Theory (math.GR) MSC classes: 20M18, 08A30, 20M10 Cite as: arXiv:2608.15114 [math.RA] (or arXiv:2608.15114v1 [math.RA] for this version) https://doi.org/10.48550/arXiv.2608.15114 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Ajda Lemut Furlani [ view email ] [v1] Sat, 15 Aug 2026 08:32:06 UTC (12 KB) Full-text links: Access Paper: View a PDF of the paper titled $F$-congruences on $F$-inverse monoids, by Ajda Lemut Furlani View PDF HTML (experimental) TeX Source view license Current browse context: math.RA < prev | next > new | recent | 2026-08 Change to browse by: math math.GR References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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