Factorization of elements in noncommutative rings, I
We extend the classical theory of factorization in noncommutative integral domains to the more general classes of right saturated rings and right cyclically complete rings. Our attention is focused, in particular, on the factorizations of right regular elements into left irreducible elements. We stu...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
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| Дата: | 2016 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2016
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/155740 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Factorization of elements in noncommutative rings, I / A. Facchini, M. Fassina // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 2. — С. 209-232. — Бібліогр.: 21 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-155740 |
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Facchini, A. Fassina, M. 2019-06-17T11:36:06Z 2019-06-17T11:36:06Z 2016 Factorization of elements in noncommutative rings, I / A. Facchini, M. Fassina // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 2. — С. 209-232. — Бібліогр.: 21 назв. — англ. 1726-3255 2010 MSC:16U30, 16B99. https://nasplib.isofts.kiev.ua/handle/123456789/155740 We extend the classical theory of factorization in noncommutative integral domains to the more general classes of right saturated rings and right cyclically complete rings. Our attention is focused, in particular, on the factorizations of right regular elements into left irreducible elements. We study the connections among such factorizations, right similar elements, cyclically presented modules of Euler characteristic 0 and their series of submodules. Finally, we consider factorizations as a product of idempotents. The first author is partially supported by Università di Padova (Progetto ex 60%“Anelli e categorie di moduli”) and Fondazione Cassa di Risparmio di Padova e Rovigo (Progetto di Eccellenza “Algebraic structures and their applications”.) en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Factorization of elements in noncommutative rings, I Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Factorization of elements in noncommutative rings, I |
| spellingShingle |
Factorization of elements in noncommutative rings, I Facchini, A. Fassina, M. |
| title_short |
Factorization of elements in noncommutative rings, I |
| title_full |
Factorization of elements in noncommutative rings, I |
| title_fullStr |
Factorization of elements in noncommutative rings, I |
| title_full_unstemmed |
Factorization of elements in noncommutative rings, I |
| title_sort |
factorization of elements in noncommutative rings, i |
| author |
Facchini, A. Fassina, M. |
| author_facet |
Facchini, A. Fassina, M. |
| publishDate |
2016 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
We extend the classical theory of factorization in noncommutative integral domains to the more general classes of right saturated rings and right cyclically complete rings. Our attention is focused, in particular, on the factorizations of right regular elements into left irreducible elements. We study the connections among such factorizations, right similar elements, cyclically presented modules of Euler characteristic 0 and their series of submodules. Finally, we consider factorizations as a product of idempotents.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/155740 |
| citation_txt |
Factorization of elements in noncommutative rings, I / A. Facchini, M. Fassina // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 2. — С. 209-232. — Бібліогр.: 21 назв. — англ. |
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2025-12-07T18:24:25Z |
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2025-12-07T18:24:25Z |
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1850874910520377344 |