The annihilation graphs of commutator posets and lattices

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dc.contributor.advisorJanelidze, Georgeen_ZA
dc.contributor.authorMehdinezhad, Elhamen_ZA
dc.date.accessioned2016-02-02T14:39:32Z
dc.date.available2016-02-02T14:39:32Z
dc.date.issued2015en_ZA
dc.descriptionIncludes bibliographical referencesen_ZA
dc.description.abstractWe propose a new, widely generalized context for the study of the zero-divisor/ annihilating-ideal graphs, where the vertices of graphs are not elements/ideals of a commutative ring, but elements of an abstract ordered set (imitating the lattice of ideals), equipped with a binary operation (imitating products of ideals). The intermediate level of congruences of any algebraic structure admitting a "good" theory of commutators is also considered.en_ZA
dc.identifier.apacitationMehdinezhad, E. (2015). <i>The annihilation graphs of commutator posets and lattices</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/16687en_ZA
dc.identifier.chicagocitationMehdinezhad, Elham. <i>"The annihilation graphs of commutator posets and lattices."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2015. http://hdl.handle.net/11427/16687en_ZA
dc.identifier.citationMehdinezhad, E. 2015. The annihilation graphs of commutator posets and lattices. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Mehdinezhad, Elham AB - We propose a new, widely generalized context for the study of the zero-divisor/ annihilating-ideal graphs, where the vertices of graphs are not elements/ideals of a commutative ring, but elements of an abstract ordered set (imitating the lattice of ideals), equipped with a binary operation (imitating products of ideals). The intermediate level of congruences of any algebraic structure admitting a "good" theory of commutators is also considered. DA - 2015 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2015 T1 - The annihilation graphs of commutator posets and lattices TI - The annihilation graphs of commutator posets and lattices UR - http://hdl.handle.net/11427/16687 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/16687
dc.identifier.vancouvercitationMehdinezhad E. The annihilation graphs of commutator posets and lattices. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2015 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/16687en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMathematics and Applied Mathematicsen_ZA
dc.subject.otherannihilation graphen_ZA
dc.subject.otherzero-divisor graphen_ZA
dc.subject.otherlatticeen_ZA
dc.subject.othercommutatoren_ZA
dc.subject.othercongruenceen_ZA
dc.titleThe annihilation graphs of commutator posets and latticesen_ZA
dc.typeDoctoral Thesis
dc.type.qualificationlevelDoctoral
dc.type.qualificationnamePhDen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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