Serial piecewise domains
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Serial piecewise domains
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| Creator |
Gubareni, N.
Khibina, M. |
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| Description |
A ring A is called a piecewise domain with respect to the complete set of idempotents {e1,e2,…,em} if every nonzero homomorphism eiA→ejA is a monomorphism. In this paper we study the rings for which conditions of being piecewise domain and being hereditary (or semihereditary) rings are equivalent. We prove that a serial right Noetherian ring is a piecewise domain if and only if it is right hereditary. And we prove that a serial ring with right Noetherian diagonal is a piecewise domain if and only if it is semihereditary.
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| Date |
2019-06-10T17:17:15Z
2019-06-10T17:17:15Z 2007 |
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| Type |
Article
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| Identifier |
Serial piecewise domains / N. Gubareni, M. Khibina // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 4. — С. 59–72. — Бібліогр.: 25 назв. — англ.
1726-3255 2000 Mathematics Subject Classification:16P40, 16G10 http://dspace.nbuv.gov.ua/handle/123456789/152382 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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