On phi-Mori rings
A commutative ring R is said to be a phi-ring if its nilradical Nil(R) is both prime and comparable with each principal ideal. The name is derived from the natural map phi from the total quotient ring T(R) to R localized at Nil(R). An ideal I that properly contains Nil(R) is phi-divisorial if (phi(R...
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2006
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| Online Access: | http://hdl.handle.net/11073/9224 |
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| _version_ | 1864513436655812608 |
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| author | Badawi, Ayman |
| author2 | Lucas, Thomas G. |
| author2_role | author |
| author_facet | Badawi, Ayman Lucas, Thomas G. |
| author_role | author |
| dc.creator.none.fl_str_mv | Badawi, Ayman Lucas, Thomas G. |
| dc.date.none.fl_str_mv | 2006 2018-02-28T05:15:39Z 2018-02-28T05:15:39Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | Badawi, A. (2006). On phi-Mori rings. Houston journal of mathematics, 32(1), 1-32. 0362-1588 http://hdl.handle.net/11073/9224 |
| dc.language.none.fl_str_mv | en_US |
| dc.publisher.none.fl_str_mv | University of Houston |
| dc.relation.none.fl_str_mv | http://www.math.uh.edu/~hjm/Vol32-1.html |
| dc.title.none.fl_str_mv | On phi-Mori rings |
| dc.type.none.fl_str_mv | Published version Peer-Reviewed info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | A commutative ring R is said to be a phi-ring if its nilradical Nil(R) is both prime and comparable with each principal ideal. The name is derived from the natural map phi from the total quotient ring T(R) to R localized at Nil(R). An ideal I that properly contains Nil(R) is phi-divisorial if (phi(R): (phi(R):phi(I)))=phi(I). A ring is a phi-Mori ring if it is a phi-ring that satisfies the ascending chain condition on phi-divisorial ideals. Many of the properties and characterizations of Mori domains can be extended to phi-Mori rings, but some cannot. |
| format | article |
| id | aus_c93826e1ce6149b5ad7fb96e46599372 |
| identifier_str_mv | Badawi, A. (2006). On phi-Mori rings. Houston journal of mathematics, 32(1), 1-32. 0362-1588 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/9224 |
| publishDate | 2006 |
| publisher.none.fl_str_mv | University of Houston |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | On phi-Mori ringsBadawi, AymanLucas, Thomas G.A commutative ring R is said to be a phi-ring if its nilradical Nil(R) is both prime and comparable with each principal ideal. The name is derived from the natural map phi from the total quotient ring T(R) to R localized at Nil(R). An ideal I that properly contains Nil(R) is phi-divisorial if (phi(R): (phi(R):phi(I)))=phi(I). A ring is a phi-Mori ring if it is a phi-ring that satisfies the ascending chain condition on phi-divisorial ideals. Many of the properties and characterizations of Mori domains can be extended to phi-Mori rings, but some cannot.University of Houston2018-02-28T05:15:39Z2018-02-28T05:15:39Z2006Published versionPeer-Reviewedinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfBadawi, A. (2006). On phi-Mori rings. Houston journal of mathematics, 32(1), 1-32.0362-1588http://hdl.handle.net/11073/9224en_UShttp://www.math.uh.edu/~hjm/Vol32-1.htmloai:repository.aus.edu:11073/92242024-08-22T12:02:06Z |
| spellingShingle | On phi-Mori rings Badawi, Ayman |
| status_str | publishedVersion |
| title | On phi-Mori rings |
| title_full | On phi-Mori rings |
| title_fullStr | On phi-Mori rings |
| title_full_unstemmed | On phi-Mori rings |
| title_short | On phi-Mori rings |
| title_sort | On phi-Mori rings |
| url | http://hdl.handle.net/11073/9224 |