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.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	http://dspace.nbuv.gov.ua/handle/123456789/152382
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.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Serial piecewise domains	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA