On semiprimary rings of finite global dimension

Simple item page
dc.creatorSaorin, Manuel
dc.date2003-06-02
dc.date.accessioned2026-07-07T04:58:31Z
dc.date.available2026-07-07T04:58:31Z
dc.descriptionSuppose that $A$ is a semiprimary ring satisfying one of the two conditions: 1) its Yoneda ring is generated in finite degrees; 2) its Loewy length is less or equal than three. We prove that the global dimension of $A$ is finite if, and only if, there is a $m>0$ such that $Ext_A^n(S,S)=0$, for all simple $A$-modules $S$ and all $n\geq m$.
dc.identifierhttps://arxiv.org/abs/math/0306043
dc.identifierhttp://arxiv.org/abs/math/0306043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67666
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subject16E10; 16E65
dc.titleOn semiprimary rings of finite global dimension
dc.typetext

Files

Collections

arXiv