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Dendrification of Hom-Malcev Algebras
Univ Gafsa, Preparatory Inst Engn Studies Gafsa, Gafsa 2112, Tunisia.
Univ Gafsa, Fac Sci Gafsa, Zarroug 2112, Gafsa, Tunisia.
Univ Gafsa, Fac Sci Gafsa, Zarroug 2112, Gafsa, Tunisia.
Mälardalen University, Faculty of Philosophy, Department of Business and Mathematics.ORCID iD: 0000-0003-4554-6528
2026 (English)In: Advances in Applied Clifford Algebras, ISSN 0188-7009, E-ISSN 1661-4909, Vol. 36, no 4, article id 44Article in journal (Refereed) Published
Abstract [en]

The main goal of this work is to introduce a notion of Hom-M-dendriform algebras which can be seen as the dendriform version of Hom-Malcev algebras. In fact they are the algebraic structures behind the O -operator of Hom-pre-Malcev algebras. They also fit into a larger framework as Hom-Malcev algebraic analogues of Hom-L-dendriform algebras. Furthermore, we show a connections between Hom-M-dendriform algebras and Hom-alternative quadri-algebras.

Place, publisher, year, edition, pages
Springer Nature , 2026. Vol. 36, no 4, article id 44
Keywords [en]
Hom-Malcev algebra, Hom-alternative algebra, Hom-M-dendriform algebra, Rota-Baxter operator, -operator
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:mdh:diva-78825DOI: 10.1007/s00006-026-01450-wISI: 001851124200001Scopus ID: 2-s2.0-105047614517OAI: oai:DiVA.org:mdh-78825DiVA, id: diva2:2095502
Available from: 2026-08-26 Created: 2026-08-26 Last updated: 2026-08-26Bibliographically approved

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Silvestrov, Sergei

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2324252627282926 of 50
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