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	1. Generalized Tilting Modules With Finite Injective Dimension
	Huang Zhaoyong
	Mathematics 28 February 2006
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	Abstract:Let $R$ be a left noetherian ring, $S$ a right noetherian ring and $_RU$ a generalized tilting module with $S={\rm End}(_RU)$. The injective dimensions of $_RU$ and $U_S$ are identical provided both of them are finite. Under the assumption that the injective dimensions of $_RU$ and $U_S$ are finite, that the subcategory $\{ {\rm Ext}_S^n(N, U)\|N$ is a finitely generated right $S$-module$\}$ is submodule closed is characterized equivalently. From which, a negative answer to a question posed by Auslander in 1969 is given. Finally, some partial answers to Wakamatsu Tilting Conjecture are given.
	TO cite this article:Huang Zhaoyong. Generalized Tilting Modules With Finite Injective Dimension[OL].[28 February 2006] http://en.paper.edu.cn/en_releasepaper/content/5432


	2. Theoretical and experimental study on two-dimensional binary locally resonant phononic crystals
	Wang Gang,Wen Jihong,Liu Yaozong,Wen Xisen
	Mathematics 13 January 2006
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	Abstract:The theoretical prediction of a locally resonant band gap in two-dimensional binary phononic crystals is verified experimentally. Numerical simulations show that the in-plane subfrequency gap exists in the thin plate of phononic crystal is much wider than that in the bulk of phononic crystal. Theoretical analysis shows that this is due to the different pure shearing/compressing module ratios in the thin plate and the bulk. The band gap edges as well as the mid-gap attenuations of finite samples are studied with different filling fractions, elastic parameters and densities of host medium. Vibration experiments are conducted with two thin plates of two-dimensional binary locally resonant phononic crystal, which are with and without holes respectively. The measured subfrequency gaps are in good agreement with the theoretical predictions.
	TO cite this article:Wang Gang,Wen Jihong,Liu Yaozong, et al. Theoretical and experimental study on two-dimensional binary locally resonant phononic crystals[OL].[13 January 2006] http://en.paper.edu.cn/en_releasepaper/content/4997


	3. Lower boundary hyperplanes of the canonical left cells in the affine Weyl group Wa（An-1）
	Shi Jianyi
	Mathematics 23 November 2005
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	Abstract:Let F be any canonical left cell of the affine Weyl group Wa of type A. We describe the lower boundary hyperplanes for F, which answer two questions of Humphreys.
	TO cite this article:Shi Jianyi. Lower boundary hyperplanes of the canonical left cells in the affine Weyl group Wa（An-1）[OL].[23 November 2005] http://en.paper.edu.cn/en_releasepaper/content/3751

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