The annihilation graphs of commutator posets and lattices

 

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dc.contributor.advisor Janelidze, George en_ZA
dc.contributor.author Mehdinezhad, Elham en_ZA
dc.date.accessioned 2016-02-02T14:39:32Z
dc.date.available 2016-02-02T14:39:32Z
dc.date.issued 2015 en_ZA
dc.identifier.citation Mehdinezhad, E. 2015. The annihilation graphs of commutator posets and lattices. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/16687
dc.description Includes bibliographical references en_ZA
dc.description.abstract 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. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Mathematics and Applied Mathematics en_ZA
dc.subject.other annihilation graph en_ZA
dc.subject.other zero-divisor graph en_ZA
dc.subject.other lattice en_ZA
dc.subject.other commutator en_ZA
dc.subject.other congruence en_ZA
dc.title The annihilation graphs of commutator posets and lattices en_ZA
dc.type Thesis / Dissertation en_ZA
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Science en_ZA
dc.publisher.department Department of Mathematics and Applied Mathematics en_ZA
dc.type.qualificationlevel Doctoral en_ZA
dc.type.qualificationname PhD en_ZA
uct.type.filetype Text
uct.type.filetype Image


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