The Auslander-Type Condition of Triangular Matrix Rings

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dc.creatorHuang, Chonghui
dc.creatorHuang, Zhaoyong
dc.date2009-03-26
dc.date.accessioned2026-07-07T12:57:00Z
dc.date.available2026-07-07T12:57:00Z
dc.descriptionLet $R$ be a left and right Noetherian ring and $n,k$ any non-negative integers. $R$ is said to satisfy the Auslander-type condition $G_n(k)$ if the right flat dimension of the $(i+1)$-st term in a minimal injective resolution of $R_R$ is at most $i+k$ for any $0 \leq i \leq n-1$. In this paper, we prove that $R$ is $G_n(k)$ if and only if so is a lower triangular matrix ring of any degree $t$ over $R$.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0903.4515
dc.identifierhttp://arxiv.org/abs/0903.4515
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224780
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subject16E10; 16E30
dc.titleThe Auslander-Type Condition of Triangular Matrix Rings
dc.typetext

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