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Browsing by Author "Kaygorodov, Ivan"
Now showing items 1-7 of 7
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Article
Abelian groups gradings on null-filiform and one-parametric filiform Leibniz algebras
Calderón, Antonio Jesús; Camacho Santana, Luisa María; Kaygorodov, Ivan; Omirov, Bakhrom Abdazovich (Cornell University, 2021)We classify, up to equivalences, all abelian groups gradings on null-filiform and oneparametric filiform Leibniz algebras. ...
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Article
Central extensions of filiform Zinbiel algebras
Camacho Santana, Luisa María; Karimjanov, Iqboljon A.; Kaygorodov, Ivan; Khudoyberdiyev, Abror Kh. (Taylor and Francis, 2020)In this paper we describe central extensions (up to isomorphism) of all complex null-filiform and filiform Zinbiel algebras. ...
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PhD Thesis
Clasificación y estudio de extensiones centrales de ciertas álgebras no asociativas
Kaygorodov, Ivan (2021-03-16)La clasificación de álgebras es un importante problema en el Álgebra Moderna. En estos trabajos de investigación, nos ...
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Article
One-generated nilpotent Novikov algebras
Camacho Santana, Luisa María; Karimjanov, Iqboljon A.; Kaygorodov, Ivan; Khudoyberdiyev, Abror Kh. (Taylor and Francis, 2020)We give a classification of 5- and 6-dimensional complex one-generated nilpotent Novikov algebras.
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Article
Some cohomologically rigid solvable Leibniz algebras
Camacho Santana, Luisa María; Kaygorodov, Ivan; Omirov, Bakhrom Abdazovich; Solijanova, Gulkhayo (Elsevier, 2020)In this paper we describe solvable Leibniz algebras whose quotient algebra by one-dimensional ideal is a Lie algebra with ...
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Article
The variety of dual mock-Lie algebras
Camacho Santana, Luisa María; Kaygorodov, Ivan; Lopatkin, Viktor; Salim, Mohamed A. (Sciendo, 2020)We classify all complex7- and8-dimensional dual mock-Lie al-gebras by the algebraic and geometric way. Also, we find all non-trivialcomplex9-dimensional dual mock-Lie algebras
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Article
Zinbiel superalgebras
Camacho Santana, Luisa María; Fernández Ouaridi, Amir; Kaygorodov, Ivan; Navarro Olmo, Rosa María (Electronic Journals Project, 2023)Throughout the present work, we extend the study of Zinbiel algebras to Zinbiel superalgebras. In particular, we show that ...