Let R be an associative ring with identity. An R-module M is called an NCS module if l（M）∩y（M） = {0}, where l（M） and y（M） denote the set of all closed submodules and the set of all small submodules of M, resp...Let R be an associative ring with identity. An R-module M is called an NCS module if l（M）∩y（M） = {0}, where l（M） and y（M） denote the set of all closed submodules and the set of all small submodules of M, respectively. It is clear that the NCS condition is a generalization of the well-known CS condition. Properties of the NCS conditions of modules and rings are explored in this article. In the end, it is proved that a ring R is right ∑-CS if and only if R is right perfect and right countably ∑-NCS. Recall that a ring R is called right ∑-CS if every direct sum of copies of RR is a CS module. And a ring R is called right countably ∑-NCS if every direct sum of countable copies of RR is an NCS module.展开更多
为了准确、快速地将拷贝图像识别出来,提出一种基于CS-LBP(centrally symmetric local binary pattern)纹理与位图像统计的图像哈希算法。算法首先对图像作预处理;然后利用三级小波分解得到近似图像和高频信息,对第二、三级近似图像利用...为了准确、快速地将拷贝图像识别出来,提出一种基于CS-LBP(centrally symmetric local binary pattern)纹理与位图像统计的图像哈希算法。算法首先对图像作预处理;然后利用三级小波分解得到近似图像和高频信息,对第二、三级近似图像利用Ring分割,提取每一环的统计特征,对第二、三级高频信息的水平方向分量和垂直方向分量进行位图像分解,提取统计特征;最后将所有的低频和高频特征联合起来生成图像哈希序列。实验结果表明所提算法的分类性能优于现有的一些哈希算法,在拷贝检测应用上具有很好的准确率。展开更多
基金Acknowledgements The authors would like to thank Professor Dinh Van Huynh and Professor Sergio Lopez-Permouth for their nice suggestions. This work was supported by the Natural Science Foundation of Jiangsu Province （Nos. BK20130599, 20141327）, the National Natural Science Foundation of China （Grant No. 11371089）, and the Project-sponsored by the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry.
文摘Let R be an associative ring with identity. An R-module M is called an NCS module if l（M）∩y（M） = {0}, where l（M） and y（M） denote the set of all closed submodules and the set of all small submodules of M, respectively. It is clear that the NCS condition is a generalization of the well-known CS condition. Properties of the NCS conditions of modules and rings are explored in this article. In the end, it is proved that a ring R is right ∑-CS if and only if R is right perfect and right countably ∑-NCS. Recall that a ring R is called right ∑-CS if every direct sum of copies of RR is a CS module. And a ring R is called right countably ∑-NCS if every direct sum of countable copies of RR is an NCS module.
文摘为了准确、快速地将拷贝图像识别出来,提出一种基于CS-LBP(centrally symmetric local binary pattern)纹理与位图像统计的图像哈希算法。算法首先对图像作预处理;然后利用三级小波分解得到近似图像和高频信息,对第二、三级近似图像利用Ring分割,提取每一环的统计特征,对第二、三级高频信息的水平方向分量和垂直方向分量进行位图像分解,提取统计特征;最后将所有的低频和高频特征联合起来生成图像哈希序列。实验结果表明所提算法的分类性能优于现有的一些哈希算法,在拷贝检测应用上具有很好的准确率。
