| 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
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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 |