The Nucleus of the Free Alternative Algebra

I. R. Hentzel; L. A. Peresi

doi:em/1175789779

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Home > Journals > Experiment. Math. > Volume 15 > Issue 4 > Article

2006 The Nucleus of the Free Alternative Algebra

I. R. Hentzel, L. A. Peresi

Experiment. Math. 15(4): 445-470 (2006).

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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 $Z_{103}$. All calculations are made with multilinear identities. Our procedure is also valid for other characteristics and for determining nuclear elements of higher degree.