An Interesting relationship between finite rings and graphs

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An Interesting relationship between finite rings and graphs

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dc.contributor.advisor Lipkovski, Aleksandar
dc.contributor.author Shafah, Osama
dc.date.accessioned 2013-10-08T10:21:23Z
dc.date.available 2013-10-08T10:21:23Z
dc.date.issued 2013
dc.identifier.uri http://hdl.handle.net/123456789/3052
dc.description.abstract In this thesis we will give an interesting relation between finite rings and their graphs, such relations are obtained in following way. Consider a directed graph on a finite ring , where are sets of vertices and edges respectively, and defined by . Since is finite, it has an integer characteristic . If is not a prime, then has zero divisors and is not a unique factorization ring, but if it is prime, then nevertheless could have zero-divisors (e.g., ). Let and be relatively prime numbers, such that , ! and define two maps " #, $ by " %& and %& respectively, so " and are homomorphism maps, suppose that '() *+,-. / + is a directed cycle of length . in a directed graph , then many interesting algebraic relations will exist between longest cycles in , # and $, which will be shown up in the chapter III. en_US
dc.description.provenance Submitted by Slavisha Milisavljevic (slavisha) on 2013-10-08T10:21:23Z No. of bitstreams: 1 Doctroral_theiss_Osama_Shafah.pdf: 332814 bytes, checksum: b344de5f5b354de534ce610d72e5e55b (MD5) en
dc.description.provenance Made available in DSpace on 2013-10-08T10:21:23Z (GMT). No. of bitstreams: 1 Doctroral_theiss_Osama_Shafah.pdf: 332814 bytes, checksum: b344de5f5b354de534ce610d72e5e55b (MD5) Previous issue date: 2013 en
dc.format.mimetype PDF en_US
dc.language.iso en en_US
dc.publisher Belgrade en_US
dc.title An Interesting relationship between finite rings and graphs en_US
mf.author.birth-date 1977-08-21
mf.author.birth-place Zawia en_US
mf.author.birth-country Libya en_US
mf.author.residence-state Libya en_US
mf.author.citizenship Libyan en_US
mf.author.nationality Libyan en_US
mf.subject.area Matematika en_US
mf.subject.subarea Izvod Algebra en_US
mf.contributor.committee Mijajlović, Žarko
mf.contributor.committee Petrović, Zoran
mf.university.faculty Mathematical en_US
mf.document.references 21 en_US
mf.document.pages 38 en_US
mf.document.location Belgrade en_US
mf.document.genealogy-project No en_US
mf.author.parent Shafah en_US
mf.university Belgrade en_US

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