On twisted ordered monoid rings over quasi-Baer rings
In this paper we show that if <em>M</em> is an Ordered monoid then the twisted monoid ring <em>R^T M</em> is (left principally) quasi-Baer if and only if <em>R</em> is (left principally) quasi-Baer. Also if <em>R</em> is (left principally) quasi-Baer a...
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
2011-06-01
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| Series: | Le Matematiche |
| Subjects: | |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/853 |
| _version_ | 1828969881104547840 |
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| author | Ahmad Ageeb A. M. Hassanein R. M. Salem |
| author_facet | Ahmad Ageeb A. M. Hassanein R. M. Salem |
| author_sort | Ahmad Ageeb |
| collection | DOAJ |
| description | In this paper we show that if <em>M</em> is an Ordered monoid then the twisted monoid ring <em>R^T M</em> is (left principally) quasi-Baer if and only if <em>R</em> is (left principally) quasi-Baer. Also if <em>R</em> is (left principally) quasi-Baer and <em>G</em> is an ordered group acting on <em>R</em> we give a necessary and sufficient condition for the crossed product <em>R∗G</em> to be (left principally) quasi-Baer.<br /> |
| first_indexed | 2024-12-14T12:39:24Z |
| format | Article |
| id | doaj.art-d8eeb3e43db34f029e1b106443cf7e51 |
| institution | Directory Open Access Journal |
| issn | 0373-3505 2037-5298 |
| language | English |
| last_indexed | 2024-12-14T12:39:24Z |
| publishDate | 2011-06-01 |
| publisher | Università degli Studi di Catania |
| record_format | Article |
| series | Le Matematiche |
| spelling | doaj.art-d8eeb3e43db34f029e1b106443cf7e512022-12-21T23:00:57ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982011-06-01661312771On twisted ordered monoid rings over quasi-Baer ringsAhmad AgeebA. M. HassaneinR. M. SalemIn this paper we show that if <em>M</em> is an Ordered monoid then the twisted monoid ring <em>R^T M</em> is (left principally) quasi-Baer if and only if <em>R</em> is (left principally) quasi-Baer. Also if <em>R</em> is (left principally) quasi-Baer and <em>G</em> is an ordered group acting on <em>R</em> we give a necessary and sufficient condition for the crossed product <em>R∗G</em> to be (left principally) quasi-Baer.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/853quasi-Baer ringTwisted monoid ringCrossed product. |
| spellingShingle | Ahmad Ageeb A. M. Hassanein R. M. Salem On twisted ordered monoid rings over quasi-Baer rings Le Matematiche quasi-Baer ring Twisted monoid ring Crossed product. |
| title | On twisted ordered monoid rings over quasi-Baer rings |
| title_full | On twisted ordered monoid rings over quasi-Baer rings |
| title_fullStr | On twisted ordered monoid rings over quasi-Baer rings |
| title_full_unstemmed | On twisted ordered monoid rings over quasi-Baer rings |
| title_short | On twisted ordered monoid rings over quasi-Baer rings |
| title_sort | on twisted ordered monoid rings over quasi baer rings |
| topic | quasi-Baer ring Twisted monoid ring Crossed product. |
| url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/853 |
| work_keys_str_mv | AT ahmadageeb ontwistedorderedmonoidringsoverquasibaerrings AT amhassanein ontwistedorderedmonoidringsoverquasibaerrings AT rmsalem ontwistedorderedmonoidringsoverquasibaerrings |