Primal clusters and local binary algebras

Adil Yaqub

Displaying similar documents to “Primal clusters and local binary algebras”

On certain classes of — and an existence theorem for — primal clusters

Adil Yaqub (1966)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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An existence theorem for semi-primal algebras

H. G. Moore, Adil Yaqub (1968)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Semi-primal clusters

D. James Samuelson (1970)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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On the conversion of binary algebras into semi-primal algebras

D. James Samuelson (1971)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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On split-by-nilpotent extensions

Ibrahim Assem, Dan Zacharia (2003)

Colloquium Mathematicae

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Let A and R be two artin algebras such that R is a split extension of A by a nilpotent ideal. We prove that if R is quasi-tilted, or tame and tilted, then so is A. Moreover, generalizations of these properties, such as laura and shod, are also inherited. We also study the relationship between the tilting R-modules and the tilting A-modules.

On transitive operations in abstract algebras

J. Anusiak (1972)

Colloquium Mathematicae

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Enveloping algebras of Malcev algebras

Murray R. Bremner, Irvin R. Hentzel, Luiz A. Peresi, Marina V. Tvalavadze, Hamid Usefi (2010)

Commentationes Mathematicae Universitatis Carolinae

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We first discuss the construction by Pérez-Izquierdo and Shestakov of universal nonassociative enveloping algebras of Malcev algebras. We then describe recent results on explicit structure constants for the universal enveloping algebras (both nonassociative and alternative) of the 4-dimensional solvable Malcev algebra and the 5-dimensional nilpotent Malcev algebra. We include a proof (due to Shestakov) that the universal alternative enveloping algebra of the real 7-dimensional simple...