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The socle of the last term in a minimal injective resolution

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Abstract

Let Λ and Γ be left and right Noetherian rings and Λ U a generalized tilting module with Γ = End(Λ U). For a non-negative integer k, if Λ U is (k-2)-Gorenstein with the injective dimensions of Λ U and U Γ being k, then the socle of the last term in a minimal injective resolution of Λ U is non-zero.

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Authors and Affiliations

  1. Department of Mathematics, Nanjing University, Nanjing, 210093, China

    ZhaoYong Huang

  2. College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    Yao Wang

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  1. ZhaoYong Huang
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  2. Yao Wang
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Correspondence to ZhaoYong Huang.

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Huang, Z., Wang, Y. The socle of the last term in a minimal injective resolution. Sci. China Math. 53, 1715–1721 (2010). https://doi.org/10.1007/s11425-010-4024-5

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  • DOI: https://doi.org/10.1007/s11425-010-4024-5

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