Anticommutative derivation alternator rings

dc.contributor.advisor I. R. Hentzel
dc.contributor.author Nimmo, Steven
dc.contributor.department Mathematics
dc.date 2018-08-15T16:10:20.000
dc.date.accessioned 2020-07-02T06:09:16Z
dc.date.available 2020-07-02T06:09:16Z
dc.date.copyright Fri Jan 01 00:00:00 UTC 1988
dc.date.issued 1988
dc.description.abstract <p>In this dissertation, we study nonassociative rings that satisfy xy = -yx and ((yx)x)x = y((zx)x) + ((yx)x)z. These rings are called anticommutative derivation alternator rings. In Section II, we shall show some basic properties of the multiplication in rings of this type. In Section III, we shall show the structure of a special type of simple anticommutative derivation alternator rings. Finally, in Section IV, we shall show conditions under which the product (xy)z is zero.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/rtd/8796/
dc.identifier.articleid 9795
dc.identifier.contextkey 6344066
dc.identifier.doi https://doi.org/10.31274/rtd-180813-12147
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath rtd/8796
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/81823
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/rtd/8796/r_8825947.pdf|||Sat Jan 15 02:16:42 UTC 2022
dc.subject.disciplines Mathematics
dc.subject.keywords Mathematics
dc.title Anticommutative derivation alternator rings
dc.type article
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication 82295b2b-0f85-4929-9659-075c93e82c48
thesis.degree.level dissertation
thesis.degree.name Doctor of Philosophy
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