Quasi-duo Partial skew polynomial rings
In this paper we consider rings R with a partial action α of Z on R. We give necessary and sufficient conditions for partial skew polynomial rings and partial skew Laurent polynomial rings to be quasi-duo rings and in this case we describe the Jacobson radical. Moreover, we give some examples to sho...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2011 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2011
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154868 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Quasi-duo Partial skew polynomial rings / W. Cortes, M.Ferrero, L.Gobbi // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 2. — С. 53–63. — Бібліогр.: 8 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862654393733611520 |
|---|---|
| author | Cortes, W. Ferrero, M. Gobbi, L. |
| author_facet | Cortes, W. Ferrero, M. Gobbi, L. |
| citation_txt | Quasi-duo Partial skew polynomial rings / W. Cortes, M.Ferrero, L.Gobbi // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 2. — С. 53–63. — Бібліогр.: 8 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | In this paper we consider rings R with a partial action α of Z on R. We give necessary and sufficient conditions for partial skew polynomial rings and partial skew Laurent polynomial rings to be quasi-duo rings and in this case we describe the Jacobson radical. Moreover, we give some examples to show that our results are not an easy generalization of the global case.
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| first_indexed | 2025-12-02T00:25:57Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154868 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-02T00:25:57Z |
| publishDate | 2011 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Cortes, W. Ferrero, M. Gobbi, L. 2019-06-16T05:52:15Z 2019-06-16T05:52:15Z 2011 Quasi-duo Partial skew polynomial rings / W. Cortes, M.Ferrero, L.Gobbi // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 2. — С. 53–63. — Бібліогр.: 8 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:16S36; 16S35. https://nasplib.isofts.kiev.ua/handle/123456789/154868 In this paper we consider rings R with a partial action α of Z on R. We give necessary and sufficient conditions for partial skew polynomial rings and partial skew Laurent polynomial rings to be quasi-duo rings and in this case we describe the Jacobson radical. Moreover, we give some examples to show that our results are not an easy generalization of the global case. The second named author was partially supported by Conselho Nacional de De-senvolvimento Cientfico e Tecnolgico (CNPq, Brazil) and the third named author waspartially supported by Capes (Brazil) en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Quasi-duo Partial skew polynomial rings Article published earlier |
| spellingShingle | Quasi-duo Partial skew polynomial rings Cortes, W. Ferrero, M. Gobbi, L. |
| title | Quasi-duo Partial skew polynomial rings |
| title_full | Quasi-duo Partial skew polynomial rings |
| title_fullStr | Quasi-duo Partial skew polynomial rings |
| title_full_unstemmed | Quasi-duo Partial skew polynomial rings |
| title_short | Quasi-duo Partial skew polynomial rings |
| title_sort | quasi-duo partial skew polynomial rings |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154868 |
| work_keys_str_mv | AT cortesw quasiduopartialskewpolynomialrings AT ferrerom quasiduopartialskewpolynomialrings AT gobbil quasiduopartialskewpolynomialrings |