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dc.contributor.advisorMaxson, C. J.
dc.creatorKabza, Lucyna
dc.description.abstractIn this dissertation the simplicity of some nonzero-symmetric as well as zero-symmetric near-rings is investigated, with emphasis on the relationship between the simplicity of the near-ring, N, and the simplicity of its zero-symmetric subnear-ring, N[0]. The simplicity of near-ring associated with a 2-fold meromorphic product, N = M(G,2,H), is shows to coincide with the simplicity of the near-ring N[0] = M[0](G,2,H), for some choices of G and H. It is also shown that the simplicity of N and N[0] does coincide for some centralizer near-rings, e.g., M[A](G) and M^0[A](G), where A is a group of automorphisms of G, and M[S](G) and M^0[S](G), where S is a finite invers semigroup of endomorphisms of G.en
dc.format.extentv, 64 leavesen
dc.rightsThis thesis was part of a retrospective digitization project authorized by the Texas A&M University Libraries. Copyright remains vested with the author(s). It is the user's responsibility to secure permission from the copyright holder(s) for re-use of the work beyond the provision of Fair Use.en
dc.subjectMajor mathematicsen
dc.subject.classification1993 Dissertation K113
dc.titleThe simplicity of some zero-symmetric and nonzero-symmetric near-ringsen
dc.typeThesisen A&M Universityen of Philosophyen Den
dc.contributor.committeeMemberCline, Daren B.
dc.contributor.committeeMemberSmith, Kirby C.
dc.contributor.committeeMemberStraube, Emil J.
dc.format.digitalOriginreformatted digitalen
dc.publisher.digitalTexas A&M University. Libraries

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