A morphic ring of neat range one
We show that a commutative ring R has neat range one if and only if every unit modulo principal ideal of a ring lifts to a neat element. We also show that a commutative morphic ring R has a neat range one if and only if for any elements a,b ∈ R such that aR=bR there exist neat elements s,t∈R such th...
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| Дата: | 2015 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2015
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/155168 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A morphic ring of neat range one / O. Pihura, B. Zabavsky // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 325-329. — Бібліогр.: 10 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-155168 |
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dspace |
| spelling |
irk-123456789-1551682019-06-17T01:27:25Z A morphic ring of neat range one Pihura, O. Zabavsky, B. We show that a commutative ring R has neat range one if and only if every unit modulo principal ideal of a ring lifts to a neat element. We also show that a commutative morphic ring R has a neat range one if and only if for any elements a,b ∈ R such that aR=bR there exist neat elements s,t∈R such that bs=c, ct=b. Examples of morphic rings of neat range one are given. 2015 Article A morphic ring of neat range one / O. Pihura, B. Zabavsky // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 325-329. — Бібліогр.: 10 назв. — англ. 1726-3255 2010 MSC:13F99. http://dspace.nbuv.gov.ua/handle/123456789/155168 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We show that a commutative ring R has neat range one if and only if every unit modulo principal ideal of a ring lifts to a neat element. We also show that a commutative morphic ring R has a neat range one if and only if for any elements a,b ∈ R such that aR=bR there exist neat elements s,t∈R such that bs=c, ct=b. Examples of morphic rings of neat range one are given. |
| format |
Article |
| author |
Pihura, O. Zabavsky, B. |
| spellingShingle |
Pihura, O. Zabavsky, B. A morphic ring of neat range one Algebra and Discrete Mathematics |
| author_facet |
Pihura, O. Zabavsky, B. |
| author_sort |
Pihura, O. |
| title |
A morphic ring of neat range one |
| title_short |
A morphic ring of neat range one |
| title_full |
A morphic ring of neat range one |
| title_fullStr |
A morphic ring of neat range one |
| title_full_unstemmed |
A morphic ring of neat range one |
| title_sort |
morphic ring of neat range one |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/155168 |
| citation_txt |
A morphic ring of neat range one / O. Pihura, B. Zabavsky // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 325-329. — Бібліогр.: 10 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
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AT pihurao amorphicringofneatrangeone AT zabavskyb amorphicringofneatrangeone AT pihurao morphicringofneatrangeone AT zabavskyb morphicringofneatrangeone |
| first_indexed |
2023-05-20T17:46:13Z |
| last_indexed |
2023-05-20T17:46:13Z |
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1796154047410995200 |