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Simply Complete Hom-Lie Superalgebras and Decomposition of Complete Hom-Lie Superalgebras
Department of Mathematics, College of Sciences, Shiraz University, P.O. Box 71457-44776, Shiraz, Iran.
Department of Mathematics, College of Sciences, Shiraz University, P.O. Box 71457-44776, Shiraz, Iran.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
2023 (English)In: Advances in Applied Clifford Algebras, ISSN 0188-7009, E-ISSN 1661-4909, Vol. 33, no 2, article id 17Article in journal (Refereed) Published
Abstract [en]

Complete hom-Lie superalgebras are considered and some equivalent conditions for a hom-Lie superalgebra to be a complete hom-Lie superalgebra are established. In particular, the relation between decomposition and completeness for a hom-Lie superalgebra is described. Moreover, some conditions that the linear space of αs-derivations of a hom-Lie superalgebra to be complete and simply complete are obtained.
Place, publisher, year, edition, pages
Birkhauser , 2023. Vol. 33, no 2, article id 17
Keywords [en]
Complete hom-Lie superalgebra, Hom-Lie superalgebra, Simple hom-Lie superalgebra
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-62035DOI: 10.1007/s00006-023-01259-xISI: 000941144100001Scopus ID: 2-s2.0-85149064350OAI: oai:DiVA.org:mdh-62035DiVA, id: diva2:1742109
Available from: 2023-03-08 Created: 2023-03-08 Last updated: 2025-10-10Bibliographically approved

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Silvestrov, Sergei

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