A Class of Nonassociative Algebras

DOI10.1142/S1005386707000314zbMath1230.17001arXivmath/0309015MaRDI QIDQ5297779

Elisabeth Remm, Michel Goze

Publication date: 13 July 2007

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

Full work available at URL: https://arxiv.org/abs/math/0309015

zbMATH Keywords

monoidal categoriesnonassociative algebrasKoszul dualityLie-admissible algebraspower-associative algebrasquadratic operads

Mathematics Subject Classification ID

Nonassociative algebras satisfying other identities (17A30) Lie-admissible algebras (17D25)

Related Items (7)

Associator dependent algebras and Koszul duality ⋮ Poisson algebras in terms of non-associative algebras ⋮ Free Lie-admissible algebras and an analogue of the PBW theorem ⋮ Unnamed Item ⋮ Weakly associative algebras, Poisson algebras and deformation quantization ⋮ On algebras obtained by tensor product ⋮ On a Remarkable Class of Left-symmetric Algebras and its Relationship with the Class of Novikov Algebras

Cites Work

• Koszul duality for operads
• Lie-admissible algebras and operads.
• Lie-admissible operads
• The cohomology structure of an associative ring
• Algebras with one operation including Poisson and other Lie-admissible algebras
• Unnamed Item

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