ON THE WEDDERBURN PRINCIPAL THEOREM IN CONFORMAL ALGEBRAS

DOI10.1142/S0219498807002120zbMath1153.16003arXivmath/0508105OpenAlexW2078466690MaRDI QIDQ3435275

Pavel Sergeevich Kolesnikov

Publication date: 25 April 2007

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508105

zbMATH Keywords

Weyl algebrasWedderburn principal theoremassociative conformal algebrasradical splitting propertysemisimple factor algebras

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Rings of differential operators (associative algebraic aspects) (16S32) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (10)

The 𝓞N-structure on bimodules over associative conformal algebras ⋮ Lie algebra structures on cohomology complexes of some \(H\)-pseudoalgebras ⋮ On the Hochschild cohomologies of associative conformal algebras with a finite faithful representation ⋮ Gerstenhaber algebra of the Hochschild cohomology of an associative conformal algebra ⋮ On universal conformal envelopes for quadratic Lie conformal algebras ⋮ Classifying complements for conformal algebras ⋮ Triviality of the second cohomology group of the conformal algebras $\mathrm {Cend}_n$ and $\mathrm {Cur}_n$ ⋮ Hochschild cohomologies of the associative conformal algebra \(\mathrm{Cend}_{1 ,x }\) ⋮ Extending structures for associative conformal algebras ⋮ On antisymmetric infinitesimal conformal bialgebras

Cites Work

• On structurable algebras
• On associative conformal algebras of linear growth. II.
• Structure theory of finite conformal algebras
• Cohomology of conformal algebras
• Conformal modules
• On free conformal and vertex algebras
• On the classification of subalgebras of \(\text{Cend}_N\) and \(\text{gc}_N\).
• On a class of Malcev superalgebras
• Associative conformal algebras with finite faithful representation.
• The Wedderburn principal theorem for Jordan algebras
• Raising idempotents
• On the cohomology groups of an associative algebra
• The wedderburn-malcev theorem for comodule algebras
• The Wedderburn principal theorem for alternative algebras
• On Maximally Central Algebras
• Associative conformal algebras of linear growth.
• Theory of finite pseudoalgebras

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