Serial piecewise domains
dc.contributor.author | Gubareni, N. | |
dc.contributor.author | Khibina, M. | |
dc.date.accessioned | 2019-06-10T17:17:15Z | |
dc.date.available | 2019-06-10T17:17:15Z | |
dc.date.issued | 2007 | |
dc.description.abstract | 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. | uk_UA |
dc.identifier.citation | Serial piecewise domains / N. Gubareni, M. Khibina // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 4. — С. 59–72. — Бібліогр.: 25 назв. — англ. | uk_UA |
dc.identifier.issn | 1726-3255 | |
dc.identifier.other | 2000 Mathematics Subject Classification:16P40, 16G10 | |
dc.identifier.uri | https://nasplib.isofts.kiev.ua/handle/123456789/152382 | |
dc.language.iso | en | uk_UA |
dc.publisher | Інститут прикладної математики і механіки НАН України | uk_UA |
dc.relation.ispartof | Algebra and Discrete Mathematics | |
dc.status | published earlier | uk_UA |
dc.title | Serial piecewise domains | uk_UA |
dc.type | Article | uk_UA |
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