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Averaging operators on q-deformed Witt and q-deformed W(2, 2) algebras
Department of Mathematics, College of Sciences and Humanities Dawadmi, Shaqra University, Shaqraa, Saudi Arabia.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
2025 (English)In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 53, no 8, p. 3437-3465Article in journal (Refereed) Published
Abstract [en]

The aim of this paper is to give some constructions results of averaging operators on Hom-Lie algebras. The homogeneous averaging operators on q-deformed Witt and q-deformed W(2, 2) Hom-algebras are classified. As applications, the induced Hom-Leibniz algebra structures are obtained and their multiplicativity conditions are also given. 
Place, publisher, year, edition, pages
Informa UK Limited , 2025. Vol. 53, no 8, p. 3437-3465
Keywords [en]
Averaging operator, Hom-Lie algebra, q-deformed W(2, 2) Hom-algebra, q-deformed Witt Hom-algebra
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-70465DOI: 10.1080/00927872.2025.2460101ISI: 001468011500001Scopus ID: 2-s2.0-86000240735OAI: oai:DiVA.org:mdh-70465DiVA, id: diva2:1945914
Available from: 2025-03-19 Created: 2025-03-19 Last updated: 2025-10-10Bibliographically approved

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Silvestrov, Sergei

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