Quasi-duo Partial skew polynomial rings
In this paper we consider rings \(R\) with a partial action \(\alpha\) of \(\mathbb{Z}\) 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...
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| Date: | 2018 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/681 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543263469600768 |
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| author | Cortes, Wagner Ferrero, Miguel Gobbi, Luciane |
| author_facet | Cortes, Wagner Ferrero, Miguel Gobbi, Luciane |
| author_sort | Cortes, Wagner |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-04T09:31:27Z |
| description | In this paper we consider rings \(R\) with a partial action \(\alpha\) of \(\mathbb{Z}\) 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. |
| first_indexed | 2026-02-08T08:00:27Z |
| format | Article |
| id | admjournalluguniveduua-article-681 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T08:00:27Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-6812018-04-04T09:31:27Z Quasi-duo Partial skew polynomial rings Cortes, Wagner Ferrero, Miguel Gobbi, Luciane partial action; quasi-duo; Jacobson radical; partial skew polynomial rings 16S36; 16S35 In this paper we consider rings \(R\) with a partial action \(\alpha\) of \(\mathbb{Z}\) 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. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/681 Algebra and Discrete Mathematics; Vol 12, No 2 (2011) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/681/215 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | partial action quasi-duo Jacobson radical partial skew polynomial rings 16S36 16S35 Cortes, Wagner Ferrero, Miguel Gobbi, Luciane Quasi-duo Partial skew polynomial rings |
| 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 |
| topic | partial action quasi-duo Jacobson radical partial skew polynomial rings 16S36 16S35 |
| topic_facet | partial action quasi-duo Jacobson radical partial skew polynomial rings 16S36 16S35 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/681 |
| work_keys_str_mv | AT corteswagner quasiduopartialskewpolynomialrings AT ferreromiguel quasiduopartialskewpolynomialrings AT gobbiluciane quasiduopartialskewpolynomialrings |