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Envelopes of commutative rings
dc.rights.license | http://creativecommons.org/licenses/by-nc-sa/3.0/ve/ | |
dc.contributor.author | Parra, Rafael | |
dc.contributor.author | Saorin, Manuel | |
dc.date.accessioned | 2010-03-18T18:41:01Z | |
dc.date.available | 2010-03-18T18:41:01Z | |
dc.date.issued | 2010-03-18T18:41:01Z | |
dc.identifier.uri | http://www.saber.ula.ve/handle/123456789/30655 | |
dc.description.abstract | Given a significative class F of commutative rings, we study the precise conditions under which a commutative ring R has an F-envelope. A full answer is obtained when F is the class of fields, semisimple commutative rings or integral domains. When F is the class of Noetherian rings, we give a full answer when the Krull dimension of R is zero and when the envelope is required to be epimorphic. The general problem is reduced to identifying the class of non-Noetherian rings having a monomorphic Noetherian envelope, which we conjecture is the empty class. | es_VE |
dc.language.iso | es | es_VE |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | Noetherian ring | es_VE |
dc.subject | Envelope | es_VE |
dc.subject | Local ring | es_VE |
dc.subject | Artinian ring | es_VE |
dc.subject | Krull | es_VE |
dc.title | Envelopes of commutative rings | es_VE |
dc.type | info:eu-repo/semantics/article | |
dc.description.colacion | 13-38 | es_VE |
dc.subject.departamento | Departamento de Matemática | es_VE |
dc.subject.facultad | Facultad de Ciencias | es_VE |
dc.subject.thematiccategory | Matemáticas | es_VE |
dc.subject.tipo | Revistas | es_VE |
dc.type.media | Texto | es_VE |