A morphic ring of neat range one
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A morphic ring of neat range one
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| Creator |
Pihura, O.
Zabavsky, B. |
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| 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.
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| Date |
2019-06-16T10:09:38Z
2019-06-16T10:09:38Z 2015 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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