[2108.03993] 2-Local and local derivations on Jordan matrix rings over commutative involutive rings Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Mathematics > Rings and Algebras arXiv:2108.03993 (math) [Submitted on 25 Jul 2021 ( v1 ), last revised 6 Aug 2026 (this version, v4)] Title: 2-Local and local derivations on Jordan matrix rings over commutative involutive rings Authors: Sh.A. Ayupov , F.N. Arzikulov , N.M. Umrzaqov , O.O. Nuriddinov View a PDF of the paper titled 2-Local and local derivations on Jordan matrix rings over commutative involutive rings, by Sh.A. Ayupov and 2 other authors View PDF HTML (experimental) Abstract: In the present paper we prove that every 2-local inner derivation on the Jordan ring of self-adjoint matrices over a commutative involutive ring is a derivation. We also apply our technique to various Jordan algebras of infinite dimensional self-adjoint matrix-valued maps on a set and prove that every 2-local spatial derivation on such algebras is a spatial derivation. It is also proved that every local spatial derivation on the same Jordan algebras is a derivation. Comments: 22 pages Subjects: Rings and Algebras (math.RA) ; Operator Algebras (math.OA) MSC classes: 16W25, 46L57, 47B47, 17C65 Cite as: arXiv:2108.03993 [math.RA] (or arXiv:2108.03993v4 [math.RA] for this version) https://doi.org/10.48550/arXiv.2108.03993 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Farhodjon Arzikulov [ view email ] [v1] Sun, 25 Jul 2021 07:00:27 UTC (11 KB) [v2] Thu, 7 Apr 2022 06:14:14 UTC (11 KB) [v3] Fri, 1 May 2026 11:21:59 UTC (30 KB) [v4] Thu, 6 Aug 2026 16:09:29 UTC (30 KB) Full-text links: Access Paper: View a PDF of the paper titled 2-Local and local derivations on Jordan matrix rings over commutative involutive rings, by Sh.A. Ayupov and 2 other authors View PDF HTML (experimental) TeX Source view license Current browse context: math.RA < prev | next > new | recent | 2021-08 Change to browse by: math math.OA 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