Lie perfect, Lie central extension and generalization of nilpotency in multiplicative Lie algebras.
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Publication:6584417
DOI10.21136/CMJ.2024.0261-23MaRDI QIDQ6584417
Dev Karan Singh, Mani Shankar Pandey, Shiv Datt Kumar
Publication date: 7 August 2024
Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)
Generalizations of solvable and nilpotent groups (20F19) General nonassociative rings (17A99) (L)-theory of group rings (19G24) Foundations (20A99)
Cites Work
- Algebra 2. Linear algebra, Galois theory, representation theory, group extensions and Schur multiplier
- Homology of multiplicative Lie rings
- Exact sequences in homology of multiplicative Lie rings and a new version of Stallings' theorem
- Nilpotency criteria for multiplicative Lie algebras
- More on five commutator identities.
- Multiplicative Lie algebras and Schur multiplier
- Theory of Extensions of Multiplicative Lie Algebras
- Classification of multiplicative Lie algebra structures on a finite group
- Lie commutator, solvability and nilpotency in multiplicative Lie algebras
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