Notes on new (antisymmetrized) algebras

DOI10.1216/RMJ-2012-42-2-529zbMath1291.17001MaRDI QIDQ422045

Ki-Bong Nam, Seul Hee Choi

Publication date: 16 May 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1335187164

zbMATH Keywords

derivationnon-associative algebrasimple\(m\)-abeliananti-symmetrized algebra

Mathematics Subject Classification ID

Nonassociative algebras satisfying other identities (17A30) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Cites Work

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• On the derivations of non-associative Weyl-type algebras
• Non-associative algebras containing the matrix ring
• Simple Lie algebras of Witt type
• On some non-associative algebras using additive groups
• Derivations of a restricted Weyl type algebra. I
• Derivations of a Restricted Weyl-Type Algebra Containing the Polynomial Ring
• DESCRIPTION OF FILTERED LIE ALGEBRAS WITH WHICH GRADED LIE ALGEBRAS OF CARTAN TYPE ARE ASSOCIATED
• Lie Admissible Non-Associative Algebras
• Weyl Type Non-Associative Algebras Using Additive Groups I
• W-type and H-type non-associative algebras using additive maps I
• GROUPS OF AUTOMORPHISMS OF INFINITE-DIMENSIONAL SIMPLE LIE ALGEBRAS

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