On U-dominant dimension

1 0 Se p 20 04 On U - Dominant Dimension ∗ †

Let Λ and Γ be artin algebras and ΛUΓ a faithfully balanced selforthogonal bimodule. We show that the U -dominant dimensions of ΛU and UΓ are identical. As applications to the results obtained, we give some characterizations of double dual functors (with respect to ΛUΓ) preserving monomorphisms and being left exact respectively.

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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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9 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...

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. 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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ON GRADED INJECTIVE DIMENSION

There are remarkable relations between the graded homological dimensions and the ordinary homological dimensions. In this paper, we study the injective dimension of a complex of graded modules and derive its some properties. In particular, we define the $^*$dualizing complex for a graded ring and investigate its consequences.

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On U-dominant dimension

نویسندگان

چکیده

منابع مشابه

1 0 Se p 20 04 On U - Dominant Dimension ∗ †

Wakamatsu Tilting Modules , U - Dominant Dimension and k - Gorenstein Modules ∗ †

9 S ep 2 00 4 Wakamatsu Tilting Modules , U - Dominant Dimension and k - Gorenstein Modules ∗ †

. R A ] 1 8 Se p 20 06 Wakamatsu Tilting Modules , U - Dominant Dimension and k - Gorenstein Modules ∗ †

ON GRADED INJECTIVE DIMENSION

ژورنال