Homorooty in Rings
The topic of ”Homorooty” (for integer numbers) has been introduced and studied in [2]. There are some applications of the homorooty in studying and solving some Diophantine equations and systems, as an interesting and useful elementary method. As a continuation of the Homorooty, we consider it f...
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| Format: | Article |
| Language: | English |
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Islamic Azad University
2010-03-01
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| Series: | Journal of Mathematical Extension |
| Online Access: | http://ijmex.com/index.php/ijmex/article/view/402/215 |
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doaj-db01058691074d65ba2bfac4fe635bab2020-11-25T03:39:59ZengIslamic Azad UniversityJournal of Mathematical Extension1735-82991735-82992010-03-01514148Homorooty in RingsM. H. Hooshmand0R. Poorjafary1Islamic Azad University-Shiraz BranchIslamic Azad University-Estahban BranchThe topic of ”Homorooty” (for integer numbers) has been introduced and studied in [2]. There are some applications of the homorooty in studying and solving some Diophantine equations and systems, as an interesting and useful elementary method. As a continuation of the Homorooty, we consider it for arbitrary rings and will study its properties in different rings, especially UFD and homorooty rings (which will be introduced). At last we shall state some applications of homorooty in studying some equations over homorooty ringshttp://ijmex.com/index.php/ijmex/article/view/402/215 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
M. H. Hooshmand R. Poorjafary |
| spellingShingle |
M. H. Hooshmand R. Poorjafary Homorooty in Rings Journal of Mathematical Extension |
| author_facet |
M. H. Hooshmand R. Poorjafary |
| author_sort |
M. H. Hooshmand |
| title |
Homorooty in Rings |
| title_short |
Homorooty in Rings |
| title_full |
Homorooty in Rings |
| title_fullStr |
Homorooty in Rings |
| title_full_unstemmed |
Homorooty in Rings |
| title_sort |
homorooty in rings |
| publisher |
Islamic Azad University |
| series |
Journal of Mathematical Extension |
| issn |
1735-8299 1735-8299 |
| publishDate |
2010-03-01 |
| description |
The topic of ”Homorooty” (for integer numbers) has been
introduced and studied in [2]. There are some applications of the homorooty
in studying and solving some Diophantine equations and systems,
as an interesting and useful elementary method. As a continuation of
the Homorooty, we consider it for arbitrary rings and will study its properties
in different rings, especially UFD and homorooty rings (which will
be introduced). At last we shall state some applications of homorooty
in studying some equations over homorooty rings |
| url |
http://ijmex.com/index.php/ijmex/article/view/402/215 |
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AT mhhooshmand homorootyinrings AT rpoorjafary homorootyinrings |
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