Second cohomology of multiplicative Lie rings and Schreier's extension theory

DOI10.1285/i15900932v40n2p37zbMath1475.17034OpenAlexW3167445782MaRDI QIDQ5000400

Nafise Hoseini, Farshid Saeedi

Publication date: 13 July 2021

Full work available at URL: http://siba-ese.unisalento.it/index.php/notemat/article/view/23506/19687

zbMATH Keywords

factor systemsmultiplicative Lie ringextensions of multiplicative Lie ringssecond cohomology of multiplicative Lie rings

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Extensions of associative rings by ideals (16S70) Other (co)homology theories (category-theoretic aspects) (18G90)

Cites Work

• Non-abelian tensor and exterior products of multiplicative Lie rings
• Homology of multiplicative Lie rings
• Nilpotency criteria for multiplicative Lie algebras
• More on five commutator identities.
• Lie Groups, Lie Algebras, and Cohomology. (MN-34), Volume 34
• Schreier's extension theory for Lie rings
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