The Nucleus of the Free Alternative Algebra Hentzel, Irvin Peresi, L. A. Hentzel, Irvin
dc.contributor.department Mathematics 2018-02-18T23:59:54.000 2020-06-30T05:59:52Z 2020-06-30T05:59:52Z Sun Jan 01 00:00:00 UTC 2006 2006-01-01
dc.description.abstract <p>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.</p>
dc.description.comments <p>This article is published as Hentzel, I. R., and L. A. Peresi. "The Nucleus of the Free Alternative Algebra." <em>Experimental Mathematics</em> 15, no. 4 (2006): 445-470. Posted with permission.</p>
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dc.identifier.articleid 1149
dc.identifier.contextkey 10917424
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath math_pubs/144
dc.language.iso en
dc.source.bitstream archive/|||Fri Jan 14 20:19:42 UTC 2022
dc.subject.disciplines Algebra
dc.subject.disciplines Mathematics
dc.subject.keywords Free alternative algebras
dc.subject.keywords nucleus
dc.subject.keywords polynomial identities
dc.subject.keywords computational algebra
dc.title The Nucleus of the Free Alternative Algebra
dc.type article
dc.type.genre article
dspace.entity.type Publication
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relation.isOrgUnitOfPublication 82295b2b-0f85-4929-9659-075c93e82c48
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