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1. Principally Small Injective Rings | |||
Xiang yueming | |||
Mathematics 20 September 2010 | |||
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Abstract:A right ideal I of a ring R is small in case for every proper right ideal K of R, K + I ≠ R. A right R-module M is called PS-injective if every R-homomorphism f : aR → M for every principally small right ideal aR can be extended to R → M. A ring R is called right PS-injective if R is PS-injective as a right R-module. We develop, in this article, PS-injectivity as a generalization of P-injectivity and small injectivity. Many characterizations of right PS-injective rings are studied. In light of these facts, we get several new properties of a right GPF ring and a semiprimitive ring in terms of right PS-injectivity. Related examples are given as well | |||
TO cite this article:Xiang yueming. Principally Small Injective Rings[OL].[20 September 2010] http://en.paper.edu.cn/en_releasepaper/content/4386202 |
2. A Note on the w-Global Transform of Mori Domains | |||
Wang Fanggui | |||
Mathematics 11 January 2010 | |||
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Abstract:Let R be a domain and let R^{wg} be the w-global transform of R. In this note it is shown that if R is a Mori domain, then the t-dimension formula t-dim(R^{wg})=t-dim(R)-1 holds. | |||
TO cite this article:Wang Fanggui. A Note on the w-Global Transform of Mori Domains[OL].[11 January 2010] http://en.paper.edu.cn/en_releasepaper/content/38734 |
3. Trivial Maximal 1-Orthogonal Subcategories For Auslander\ | |||
Huang Zhaoyong ,Zhang Xiaojin | |||
Mathematics 05 June 2009 | |||
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Abstract:Let Λ be an Auslander\ | |||
TO cite this article:Huang Zhaoyong ,Zhang Xiaojin . Trivial Maximal 1-Orthogonal Subcategories For Auslander\[OL].[ 5 June 2009] http://en.paper.edu.cn/en_releasepaper/content/32883 |
4. Multipartite Entanglement of a Tetrahedron Lattice | |||
Zhang Rong ,Zhu Shiqun ,Hao Xiang | |||
Mathematics 14 March 2006 | |||
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Abstract:Three dimensional Heisenberg model in the form of a tetrahedron lattice is investigated. The concurrence and multipartite entanglement are calculated through 2-concurrence $C$ and 4-concurrence $C_4$. The concurrence $C$ and multipartite entanglement $C_4$ depend on different coupling strengths $J_i$ and are decreased when the temperature $T$ is increased. For a symmetric tetrahedron lattice, the concurrence $C$ is symmetric about $J_1$ when $J_2$ is negative while the multipartite entanglement $C_4$ is symmetric about $J_1$ when $J_2<2$. For a regular tetrahedron lattice, the concurrence $C$ of ground state is $\frac{1}{3}$ for ferromagnetic case while $C=0$ for antiferromagnetic case. However, there is no multipartite entanglement since $C_4 =0$ in a regular tetrahedron lattice. The external magnetic field $B$ can increase the maximum value of the concurrence $C_B$ and induce two or three peaks in $C_B$. There is a peak in the multipartite entanglement $C_{4B}$ when $C_{4B}$ is varied as a function of the temperature $T$. This peak is mainly induced by the magnetic field $B$ | |||
TO cite this article:Zhang Rong ,Zhu Shiqun ,Hao Xiang . Multipartite Entanglement of a Tetrahedron Lattice[OL].[14 March 2006] http://en.paper.edu.cn/en_releasepaper/content/5697 |
5. 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 |
6. 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 |
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