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An Algorithm for Computing Graded Algebras

✍ Scribed by Michael Vaughan-Lee

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 391 KB
Volume: 16
Category: Article
ISSN: 0747-7171
DOI: 10.1006/jsco.1993.1052

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✦ Synopsis

In this article I describe an algorithm for computing finite dimensional graded algebras, and I describe an implementation of the algorithm. As an application of the algorithm, I investigate associative algebras satisfying the identity (x^{4}=0). I show that if (A) is an associative algebra over a field of characteristic zero, and if (a^{4}=0) for all (a \in A), then (A^{10}={0}),

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