Selforthogonal modules with finite injective dimension II
نویسندگان
چکیده
Let Λ be a left and right Artin ring and ΛωΛ a faithfully balanced selforthogonal bimodule. We give a sufficient condition that the injective dimension of ωΛ is finite implies that of Λω is also finite. 2003 Elsevier Science (USA). All rights reserved.
منابع مشابه
A ] 7 S ep 2 00 5 k - Gorenstein Modules ∗ †
Let Λ and Γ be artin algebras and ΛUΓ a faithfully balanced selforthogonal bimodule. In this paper, we first introduce the notion of k-Gorenstein modules with respect to ΛUΓ and then characterize it in terms of the U -resolution dimension of some special injective modules and the property of the functors Ext(Ext(−, U), U) preserving monomorphisms, which develops a classical result of Auslander....
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