| | SLO | ENG | Cookies and privacy

Bigger font | Smaller font

Show document Help

Title:Nekateri rezultati o odvajanjih na prakolobarjih
Authors:ID Varšnik, Ana Marija (Author)
ID Fošner, Maja (Mentor) More about this mentor... New window
Files:.pdf UN_Varsnik_Ana_Marija_2016.pdf (281,58 KB)
MD5: 0E982A5BF39539E235DE6CB5F7879663
 
Language:Slovenian
Work type:Undergraduate thesis
Typology:2.11 - Undergraduate Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:Diplomsko delo z naslovom Nekateri rezultati o odvajanjih na prakolobarjih je razdeljeno na dve poglavji. Prvo poglavje je namenjeno osnovnim pojmom, ki jih potrebujemo za razumevanje diplomskega dela. V podrazdelkih smo se osredotočili, med drugim, na pojme grupa, kolobar, ideal, algebra, prakolobar, polprakolobar, odvajanje in Jordansko odvajanje. V drugem poglavju, ki je cilj diplomskega dela, bodo predstavljeni izreki in dokazi, ki jih potrebujemo za dokaz klasičnega rezultata I.N.Hersteina, ki pravi, da je vsako Jordansko odvajanje na prakolobarju s karakteristiko različno od dva odvajanje. Prav tako bomo zapisali Posnerjev izrek, ki pravi, da produkt dveh neničelnih odvajanj na prakolobarju s karakteristiko različno od dva ni odvajanje.
Keywords:kolobar, grupa, prakolobar, polprakolobar, ideal, algebra, odvajanje, Jordansko odvajanje.
Place of publishing:Maribor
Publisher:[A. M. Varšnik]
Year of publishing:2016
PID:20.500.12556/DKUM-60936 New window
UDC:512.552.3(043.2)
COBISS.SI-ID:22477320 New window
NUK URN:URN:SI:UM:DK:GGYKEPIJ
Publication date in DKUM:30.08.2016
Views:1682
Downloads:74
Metadata:XML DC-XML DC-RDF
Categories:FNM
:
Copy citation
  
Average score:(0 votes)
Your score:Voting is allowed only for logged in users.
Share:Bookmark and Share



Hover the mouse pointer over a document title to show the abstract or click on the title to get all document metadata.

Secondary language

Language:English
Title:Some results on derivations in prime rings
Abstract:In the Graduation Thesis with the title Some results on derivations in prime rings, we will first introduce the basic terminology. We will present some definitions, such as group, ring, ideal, algebra, prime ring, semi prime ring, derivation, Jordan derivation. In the second part of the Thesis we will focus on theorems and proofs, which we need for proving classical result of I.N.Herstein. He proved that every Jordan derivation in prime ring of characteristics not two is also a derivation. We will present Posner theorem which defines that product of two non zero derivations in prime ring of characteristics not two is not a derivation.
Keywords:ring, group, prime ring, semi prime ring, ideal, algebra, derivation, Jordan derivation.


Comments

Leave comment

You must log in to leave a comment.

Comments (0)
0 - 0 / 0
 
There are no comments!

Back
Logos of partners University of Maribor University of Ljubljana University of Primorska University of Nova Gorica