The Nucleus of the Free Alternative Algebra

Date
2006-01-01
Authors
Hentzel, Irvin
Peresi, L. A.
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Abstract

We use a computer procedure to determine a basis of the elements of degree 5 in the nucleus of the free alternative algebra. In order to save computer memory, we do our calculations over the field Z103. All calculations are made with multilinear identities. Our procedure is also valid for other characteristics and for determining nuclear elements of higher degree.

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This article is published as Hentzel, I. R., and L. A. Peresi. "The Nucleus of the Free Alternative Algebra." Experimental Mathematics 15, no. 4 (2006): 445-470. Posted with permission.

Keywords
Free alternative algebras, nucleus, polynomial identities, computational algebra
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