Conservative algebras of 2-dimensional algebras, II

DOI10.1080/00927872.2016.1236935zbMath1427.17003arXiv1507.02324OpenAlexW3200636081WikidataQ58174527 ScholiaQ58174527MaRDI QIDQ4978402

I. B. Kaĭgorodov, Yury Volkov

Publication date: 10 August 2017

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

Full work available at URL: https://arxiv.org/abs/1507.02324

zbMATH Keywords

automorphismidempotentidealbilinear mapsconservative algebra

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Multilinear algebra, tensor calculus (15A69) Vector spaces, linear dependence, rank, lineability (15A03) Nonassociative algebras satisfying other identities (17A30) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items (7)

On the Kantor product ⋮ One-generated nilpotent terminal algebras ⋮ Conservative algebras and superalgebras: a survey ⋮ Conservative algebras of 2-dimensional algebras ⋮ Conservative algebras of 2-dimensional algebras. III ⋮ The classification of 2-dimensional rigid algebras ⋮ The universal conservative superalgebra

Cites Work

• Conservative algebras of 2-dimensional algebras
• Terminal trilinear operations
• Extension of the class of Jordan algebras
• A universal conservative algebra
• The classification of two-dimensional nonassociative algebras
• Ternary derivations of Jordan superalgebras
• \((n+1)\)-ary derivations of semisimple Filippov algebras
• On $(n+1)$-ary derivations of simple $n$-ary Mal′tsev algebras
• Algebras of Jordan brackets and generalized Poisson algebras
• Ternary Derivations of Generalized Cayley–Dickson Algebras

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