Commutative Finitely Generated Algebras Satisfying ((yx)x)x = 0 are Solvable
| dc.contributor.author | Correa, Ivan | |
| dc.contributor.author | Hentzel, Irvin | |
| dc.contributor.department | Mathematics | |
| dc.date | 2019-12-17T22:20:07.000 | |
| dc.date.accessioned | 2020-06-30T05:59:46Z | |
| dc.date.available | 2020-06-30T05:59:46Z | |
| dc.date.copyright | Thu Jan 01 00:00:00 UTC 2009 | |
| dc.date.issued | 2009-01-01 | |
| dc.description.abstract | <p>We study commutative, nonassociative algebras satisfying the identity</p> <p>(1) ((<em>yx</em>)<em>x</em>)<em>x</em> = 0</p> <p><em><br /></em>We show that finitely generated algebras over a field <em>K</em> of characteristic ≠ 2 satisfying (1) are solvable. For <em>x</em> in an algebra <em>A</em>, define the multiplicatin operator <em>R<sub>x</sub></em> by <em>yR<sub>x</sub></em> = <em>yx</em>, for all <em>y</em> ∈ <em>A</em>. Our identify is then that <em>R<sub>x</sub></em><sup>3</sup> = 0.</p> | |
| dc.description.comments | <p>This article is published as Correa, Ivan, and Irvin Roy Hentzel. "Commutative Finitely Generated Algebras Satisfying ((yx) x) x= 0 are Solvable." <em>Rocky Mountain Journal of Mathematics</em> 39, no. 3 (2009): 757-764. DOI: <a href="http://dx.doi.org/10.1216/RMJ-2009-39-3-757" target="_blank" title="Commutative Finitely Generated Algebras Satisfying ((yx)x)x=0 are Solvable">10.1216/RMJ-2009-39-3-757</a>. Posted with permission.</p> | |
| dc.format.mimetype | application/pdf | |
| dc.identifier | archive/lib.dr.iastate.edu/math_pubs/131/ | |
| dc.identifier.articleid | 1136 | |
| dc.identifier.contextkey | 10897320 | |
| dc.identifier.s3bucket | isulib-bepress-aws-west | |
| dc.identifier.submissionpath | math_pubs/131 | |
| dc.identifier.uri | https://dr.lib.iastate.edu/handle/20.500.12876/54515 | |
| dc.language.iso | en | |
| dc.source.bitstream | archive/lib.dr.iastate.edu/math_pubs/131/2009_Hentzel_CommutativeFinitely.pdf|||Fri Jan 14 19:44:30 UTC 2022 | |
| dc.source.uri | 10.1216/RMJ-2009-39-3-757 | |
| dc.subject.disciplines | Algebra | |
| dc.subject.disciplines | Mathematics | |
| dc.subject.keywords | Commutative | |
| dc.subject.keywords | solvable | |
| dc.subject.keywords | nilpotent | |
| dc.subject.keywords | finitely-generated | |
| dc.title | Commutative Finitely Generated Algebras Satisfying ((yx)x)x = 0 are Solvable | |
| dc.type | article | |
| dc.type.genre | article | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 70506428-9d7c-4c43-bcfa-d89bbb2149e4 | |
| relation.isOrgUnitOfPublication | 82295b2b-0f85-4929-9659-075c93e82c48 |
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