Conservative algebras and superalgebras: a survey

Yury Popov

Displaying similar documents to “Conservative algebras and superalgebras: a survey”

Mappings preserving zero products

M. A. Chebotar, W.-F. Ke, P.-H. Lee, N.-C. Wong (2003)

Studia Mathematica

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Let θ : ℳ → 𝓝 be a zero-product preserving linear map between algebras. We show that under some mild conditions θ is a product of a central element and an algebra homomorphism. Our result applies to matrix algebras, standard operator algebras, C*-algebras and W*-algebras.

Moufang H*-algebras.

José Antonio Cuenca Mira (2002)

Extracta Mathematicae

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Malcev h*-algebras.

M. Cabrera, J. Martínez Moreno, A. Rodríguez (1986)

Extracta Mathematicae

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Derivation Algebras of JB-Algebras.

Harald Upmeier (1979/80)

Manuscripta mathematica

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Derivatons of Jordan C*-algebras.

Harald Upmeier (1980)

Mathematica Scandinavica

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Jordan Axioms for C*-Algebras.

Angel Rodriguez Palacios (1988)

Manuscripta mathematica

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A Class of Nonassociative Algebras with Involution Containing the Class of Jordan Algebras.

B.N. Allison (1978)

Mathematische Annalen

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Mutations of C-algebras and quasiassociative JB-algebras

Angel Rodríguez-Palacios (1987)

Collectanea Mathematica

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Universal Enveloping Algebras of Nonassociative Structures

Tvalavadze, Marina (2012)

Serdica Mathematical Journal

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2010 Mathematics Subject Classification: Primary 17D15. Secondary 17D05, 17B35, 17A99. This is a survey paper to summarize the latest results on the universal enveloping algebras of Malcev algebras, triple systems and Leibniz n-ary algebras.

A review on δ-structurable algebras

Noriaki Kamiya, Daniel Mondoc, Susumu Okubo (2011)

Banach Center Publications

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In this paper we give a review on δ-structurable algebras. A connection between Malcev algebras and a generalization of δ-structurable algebras is also given.