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Structure and cohomology of 3-Lie-Rinehart superalgebras
Univ Bisha,Dept Math, Sabt Al Alaya, Saudi Arabia.;Univ Sfax, Fac Sci, Sfax, Tunisia..
Univ Sfax, Fac Sci, Sfax, Tunisia..
Univ Gafsa, Fac Sci, Gafsa, Tunisia..
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
2021 (English)In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 49, no 11, p. 4883-4904Article in journal (Refereed) Published
Abstract [en]

We introduce a concept of 3-Lie-Rinehart superalgebra and systematically describe a cohomology complex by considering coefficient modules. Furthermore, we study the relationships between a Lie-Rinehart superalgebra and its induced 3-Lie-Rinehart superalgebra. The deformations of 3-Lie-Rinehart superalgebra are considered via a cohomology theory.
Place, publisher, year, edition, pages
Taylor & Francis Group, 2021. Vol. 49, no 11, p. 4883-4904
Keywords [en]
Cohomology, deformation, Lie-Rinehart superalgebra, 3-Lie-Rinehart superalgebra
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-55515DOI: 10.1080/00927872.2021.1931266ISI: 000677261500001Scopus ID: 2-s2.0-85111280743OAI: oai:DiVA.org:mdh-55515DiVA, id: diva2:1583105
Available from: 2021-08-05 Created: 2021-08-05 Last updated: 2021-11-05Bibliographically approved

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Publisher's full textScopushttps://www.tandfonline.com/doi/full/10.1080/00927872.2021.1931266

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Silvestrov, Sergei

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