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Nonassociative ultraprime normed algebras.

Miguel Cabrera García, Angel Rodríguez Palacios (1990)

Extracta Mathematicae

Recently M. Mathieu [9] has proved that any associative ultraprime normed complex algebra is centrally closed. The aim of this note is to announce the general nonassociative extension of Mathieu's result obtained by the authors [2].

Nonassociativity in VOA theory and finite group theory

Jr. Griess, Robert L. (2010)

Commentationes Mathematicae Universitatis Carolinae

We discuss some examples of nonassociative algebras which occur in VOA (vertex operator algebra) theory and finite group theory. Methods of VOA theory and finite group theory provide a lot of nonassociative algebras to study. Ideas from nonassociative algebra theory could be useful to group theorists and VOA theorists.

Novikov superalgebras with A 0 = A 1 A 1

Fuhai Zhu, Zhiqi Chen (2010)

Czechoslovak Mathematical Journal

Novikov superalgebras are related to quadratic conformal superalgebras which correspond to the Hamiltonian pairs and play a fundamental role in completely integrable systems. In this note we show that the Novikov superalgebras with A 0 = A 1 A 1 and dim A 1 = 2 are of type N and give a class of Novikov superalgebras of type S with A 0 = A 1 A 1 .

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