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Pseudo-Euclidean Hom-alternative superalgebras and Hom-post-alternative superalgebras
Univ Gafsa, Fac Sci Gafsa, Gafsa 2112, Tunisia.
Univ Gafsa, Fac Sci Gafsa, Gafsa 2112, Tunisia.
Univ Sfax, Fac Sci Sfax, Sfax, Tunisia.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
2026 (English)In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 54, no 1, p. 347-364Article in journal (Refereed) Published
Abstract [en]

The purpose of this paper is to study pseudo-Euclidean and symplectic Hom-alternative superalgebras and discuss some of their proprieties and provide construction procedures. We also introduce the notion of Rota-Baxter operators of pseudo-Euclidean Hom-alternative superalgebras of any weight and Hom-post-alternative superalgebras. A Hom-post-alternative superalgebra consists of three operations such that some compatibility conditions are satisfied. We show that a weighted Rota-Baxter operator induces a Hom-post-alternative superalgebra naturally. Conversely, a Hom-post-alternative superalgebra gives rise to a new Hom-alternative superalgebra. In particular, a Hom-pre-alternative superalgebra is naturally built via symplectic structures.

Place, publisher, year, edition, pages
Informa UK Limited , 2026. Vol. 54, no 1, p. 347-364
Keywords [en]
Hom-alternative superalgebra, Hom-post-alternative superalgebra, pseudo-Euclidean, Rota-Baxter operator, symplectic
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-72890DOI: 10.1080/00927872.2025.2525387ISI: 001529792100001Scopus ID: 2-s2.0-105010928443OAI: oai:DiVA.org:mdh-72890DiVA, id: diva2:1985947
Available from: 2025-07-29 Created: 2025-07-29 Last updated: 2025-11-19Bibliographically approved

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Publisher's full textScopushttps://www.tandfonline.com/doi/full/10.1080/00927872.2025.2525387

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Silvestrov, Sergei

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