On serial Noetherian rings
It is well known that every serial Noetherian ring satisfies the restricted minimum condition. In particular, following Warfield (1975), such a ring is a direct sum of an Artinian ring and hereditary prime rings. The aim of this note is to show that every serial ring having the restricted minimum co...
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th-mahidol.233942018-08-20T14:04:47Z On serial Noetherian rings Chitlada Somsup Nguyen Van Sanh Phan Dan Mahidol University Ho Chi Minh City University of Transport Mathematics It is well known that every serial Noetherian ring satisfies the restricted minimum condition. In particular, following Warfield (1975), such a ring is a direct sum of an Artinian ring and hereditary prime rings. The aim of this note is to show that every serial ring having the restricted minimum condition is Noetherian. Copyright © Taylor & Francis Group, LLC. 2018-08-20T07:04:47Z 2018-08-20T07:04:47Z 2006-10-01 Article Communications in Algebra. Vol.34, No.10 (2006), 3701-3703 10.1080/00927870600860858 15324125 00927872 2-s2.0-33845885774 https://repository.li.mahidol.ac.th/handle/123456789/23394 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33845885774&origin=inward |
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Mathematics Chitlada Somsup Nguyen Van Sanh Phan Dan On serial Noetherian rings |
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It is well known that every serial Noetherian ring satisfies the restricted minimum condition. In particular, following Warfield (1975), such a ring is a direct sum of an Artinian ring and hereditary prime rings. The aim of this note is to show that every serial ring having the restricted minimum condition is Noetherian. Copyright © Taylor & Francis Group, LLC. |
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Mahidol University |
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Mahidol University Chitlada Somsup Nguyen Van Sanh Phan Dan |
| format |
Article |
| author |
Chitlada Somsup Nguyen Van Sanh Phan Dan |
| author_sort |
Chitlada Somsup |
| title |
On serial Noetherian rings |
| title_short |
On serial Noetherian rings |
| title_full |
On serial Noetherian rings |
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On serial Noetherian rings |
| title_full_unstemmed |
On serial Noetherian rings |
| title_sort |
on serial noetherian rings |
| publishDate |
2018 |
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https://repository.li.mahidol.ac.th/handle/123456789/23394 |
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1763496446150049792 |