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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2016 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2016
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| Online Zugang: | 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 |
| Zitieren: | 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| _version_ | 1862720259274833920 |
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| author | Facchini, A. Fassina, M. |
| author_facet | Facchini, A. Fassina, M. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T18:24:25Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155740 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:24:25Z |
| publishDate | 2016 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Factorization of elements in noncommutative rings, I Facchini, A. Fassina, M. |
| title | 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_short | Factorization of elements in noncommutative rings, I |
| title_sort | factorization of elements in noncommutative rings, i |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155740 |
| work_keys_str_mv | AT facchinia factorizationofelementsinnoncommutativeringsi AT fassinam factorizationofelementsinnoncommutativeringsi |