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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| Дата: | 2016 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2016
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-155740 |
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dspace |
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irk-123456789-1557402019-06-18T01:26:14Z Factorization of elements in noncommutative rings, I Facchini, A. Fassina, M. 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. 2016 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/155740 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 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. |
| format |
Article |
| author |
Facchini, A. Fassina, M. |
| spellingShingle |
Facchini, A. Fassina, M. Factorization of elements in noncommutative rings, I Algebra and Discrete Mathematics |
| author_facet |
Facchini, A. Fassina, M. |
| author_sort |
Facchini, A. |
| title |
Factorization of elements in noncommutative rings, I |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
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AT facchinia factorizationofelementsinnoncommutativeringsi AT fassinam factorizationofelementsinnoncommutativeringsi |
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2023-05-20T17:47:37Z |
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2023-05-20T17:47:37Z |
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1796154098725158912 |