Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Hani Abdelwahab"'
Publikováno v:
Axioms, Vol 13, Iss 11, p 787 (2024)
In this paper, we present some generalizations of Jacobi–Jordan algebras. More concretely, we will focus on noncommutative Jacobi–Jordan algebras, Malcev–Jordan algebras, and general Jacobi–Jordan algebras. We adapt a method, used to classify
Externí odkaz:
https://doaj.org/article/13df6e26367249309ae2a6ce4aee79fe
Publikováno v:
Mathematics, Vol 11, Iss 3, p 725 (2023)
In this work, we study a linear operator f on a pre-Euclidean space V by using properties of a corresponding graph. Given a basis B of V, we present a decomposition of V as an orthogonal direct sum of certain linear subspaces {Ui}i∈I, each one admi
Externí odkaz:
https://doaj.org/article/30acfcfd470f4372b3e89d4479454d4a
Publikováno v:
Journal of Algebra. 615:243-277
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7eaba81a50dfc72fd8efa66966c36d71
https://doi.org/10.1016/j.jalgebra.2022.10.018
https://doi.org/10.1016/j.jalgebra.2022.10.018
Publikováno v:
Linear Algebra and its Applications. 654:339-378
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce126bc417ce10fc1d62a0cceec1d930
https://doi.org/10.1016/j.laa.2022.09.005
https://doi.org/10.1016/j.laa.2022.09.005
We explore the role derivations of a Lie triple system Τ play in the nilpotence and semisimplicity of T. In particular analogous to two Theorems of Jacobson for Lie algebras, (by giving a sufficient condition for the nilpotence of T in terms of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0de9c9da0b47723a33e16bc28ef4d117
https://doi.org/10.21203/rs.3.rs-2729077/v1
https://doi.org/10.21203/rs.3.rs-2729077/v1
Publikováno v:
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 117
In this paper we generalize the Skjelbred Sund method, used to classify nilpotent Lie algebras, in order to classify triple systems with non zero annihilator. We develop this method with the purpose of classifying nilpotent Lie triple systems, obtain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9cfc5276139f27b02ebe972b9c17c323
https://doi.org/10.1007/s13398-022-01344-z
https://doi.org/10.1007/s13398-022-01344-z
Publikováno v:
Rocky Mountain J. Math. 50, no. 5 (2020), 1541-1559
The class of binary Lie algebras contains the one of Malcev algebras (and so the one of Lie algebras). We provide a classification of central extensions of complex non-Malcev binary Lie algebras of dimensions either [math] or [math] . From here, a cl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0510e2db300b100d09a7f2dee52e597
https://doi.org/10.1216/rmj.2020.50.1541
https://doi.org/10.1216/rmj.2020.50.1541
Autor:
Hani Abdelwahab, A. S. Hegazi
Publikováno v:
Communications in Algebra. 46:629-643
The paper is devoted to give a complete classification of all n-dimensional non-associative Jordan algebras with (n−3)-dimensional annihilator over an algebraically closed field of characteristic ≠...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d43ddc803784c5eb90cff8f39b5c6a1e
https://doi.org/10.1080/00927872.2017.1327052
https://doi.org/10.1080/00927872.2017.1327052
Publikováno v:
Algebras and Representation Theory. 21:19-45
The paper is devoted to classify all of the nilpotent Malcev algebras of dimension ≤ 6 over an arbitrary base field 𝔽 of characteristic not 2. We also classify all 7-dimensional non-Lie nilpotent Malcev algebras which are not metabelian over any
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0add7552dadbd5d062efe03be116eca3
https://doi.org/10.1007/s10468-017-9701-4
https://doi.org/10.1007/s10468-017-9701-4
The paper is devoted to give the complete algebraic classification of nilpotent binary Lie algebras of dimension $\leq 6$ over an arbitrary base field ${\mathbb{F}}$ of characteristic not $2$ and the complete geometric classification of nilpotent bin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::197ade8990c39b6bb07370f5bc64125e
http://arxiv.org/abs/1902.01706
http://arxiv.org/abs/1902.01706