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.
Publié le : 2006-05-14
Classification:
Free alternative algebras,
nucleus,
polynomial identities,
computational algebra,
17D05,
17D10,
17-04,
17-08
@article{1175789779,
author = {Hentzel, I. R. and Peresi, L. A.},
title = {The Nucleus of the Free Alternative Algebra},
journal = {Experiment. Math.},
volume = {15},
number = {1},
year = {2006},
pages = { 445-470},
language = {en},
url = {http://dml.mathdoc.fr/item/1175789779}
}
Hentzel, I. R.; Peresi, L. A. The Nucleus of the Free Alternative Algebra. Experiment. Math., Tome 15 (2006) no. 1, pp. 445-470. http://gdmltest.u-ga.fr/item/1175789779/