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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| Дата: | 2018 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/681 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua: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 |
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Algebra and Discrete Mathematics |
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| datestamp_date |
2018-04-04T09:31:27Z |
| collection |
OJS |
| language |
English |
| topic |
partial action quasi-duo Jacobson radical partial skew polynomial rings 16S36 16S35 |
| 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 |
| topic_facet |
partial action quasi-duo Jacobson radical partial skew polynomial rings 16S36 16S35 |
| format |
Article |
| author |
Cortes, Wagner Ferrero, Miguel Gobbi, Luciane |
| author_facet |
Cortes, Wagner Ferrero, Miguel Gobbi, Luciane |
| author_sort |
Cortes, Wagner |
| title |
Quasi-duo Partial skew polynomial rings |
| title_short |
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_sort |
quasi-duo partial skew polynomial rings |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| 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 |
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2025-07-17T10:32:47Z |
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2025-07-17T10:32:47Z |
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1837889873358356480 |