On Lie algebras derived from Lie hyperalgebras

DOI10.1080/00927872.2021.1980578zbMath1495.17030OpenAlexW3203399526MaRDI QIDQ5037606

Morteza Norouzi, Hesam Safa

Publication date: 1 March 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2021.1980578

zbMATH Keywords

Lie algebrafundamental relationLie hyperalgebra

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17B99) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Hypergroups (20N20)

Cites Work

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• Engel groups derived from hypergroups.
• Strongly transitive geometric spaces associated to hypermodules.
• Algebra, hyperalgebra and Lie-Santilli theory
• Fuzzy hypermodules
• Boolean rings obtained from hyperrings with \(\eta_{1,m}^{*}\) relations
• Fundamental relation on \(m\)-idempotent hyperrings
• Transitivity of the \(\varepsilon_{m}\)-relation on (\(m\)-idempotent) hyperrings
• Nilpotent groups derived from hypergroups.
• Groupoides, demi-hypergroupes et hypergroupes
• Solvable groups derived from hypergroups
• A NEW CHARACTERIZATION OF THE DERIVED HYPERGROUP VIA STRONGLY REGULAR EQUIVALENCES
• The commutative quotient structure of m-idempotent hyperrings
• Commutative Rings Obtained from Hyperrings (H_v-rings) with α∗-Relations
• θ*-Relation on Hypermodules and Fundamental Modules Over Commutative Fundamental Rings

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