Wakamatsu tilting modules with finite injective dimension
نویسندگان
چکیده
منابع مشابه
Wakamatsu Tilting Modules , U - Dominant Dimension and k - Gorenstein Modules ∗ †
Let Λ and Γ be left and right noetherian rings and ΛU a Wakamatsu tilting module with Γ = End(ΛT ). We introduce a new definition of U -dominant dimensions and show that the U -dominant dimensions of ΛU and UΓ are identical. We characterize k-Gorenstein modules in terms of homological dimensions and the property of double homological functors preserving monomorphisms. We also study a generaliza...
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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.
متن کامل9 S ep 2 00 4 Wakamatsu Tilting Modules , U - Dominant Dimension and k - Gorenstein Modules ∗ †
Let Λ and Γ be left and right noetherian rings and ΛU a Wakamatsu tilting module with Γ = End(ΛT ). We introduce a new definition of U -dominant dimensions and show that the U -dominant dimensions of ΛU and UΓ are identical. We characterize k-Gorenstein modules in terms of homological dimensions and the property of double homological functors preserving monomorphisms. We also study a generaliza...
متن کامل. R A ] 1 8 Se p 20 06 Wakamatsu Tilting Modules , U - Dominant Dimension and k - Gorenstein Modules ∗ †
Let Λ and Γ be left and right noetherian rings and ΛU a Wakamatsu tilting module with Γ = End(ΛT ). We introduce a new definition of U -dominant dimensions and show that the U -dominant dimensions of ΛU and UΓ are identical. We characterize k-Gorenstein modules in terms of homological dimensions and the property of double homological functors preserving monomorphisms. We also study a generaliza...
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In this paper we give an upper bound for Noetherian dimension of all injective modules with Krull dimension on arbitrary rings. In particular, we also give an upper bound for Noetherian dimension of all Artinian modules on Noetherian duo rings.
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 2013
ISSN: 0011-4642,1572-9141
DOI: 10.1007/s10587-013-0058-5