本文在 A 集范畴 Ens-A 中引入局部化的概念.证明了如果 A 集 M 是内射(右投射、平坦),则其局部化后得到 S^(-1) A 集 S^(-1) M 也是内射(右投射、平坦),并由此推出如果交换幺半群 A 是完全内射(完全投射,绝对平坦)的.则半群局部化 S^(-...本文在 A 集范畴 Ens-A 中引入局部化的概念.证明了如果 A 集 M 是内射(右投射、平坦),则其局部化后得到 S^(-1) A 集 S^(-1) M 也是内射(右投射、平坦),并由此推出如果交换幺半群 A 是完全内射(完全投射,绝对平坦)的.则半群局部化 S^(-1) A 亦分别具有上述性质.同时本文证明了对于 A 集 M 和 N,及 A 的子半群 S(S 满足条件:■_(S1,S2) ∈S,存在■ y ∈A,使得 ys_1=ys_2 ∈S)有 S^(-1) A 同构:S^(-1) (M■ N)≌S^(-1) M■S^(-1) N.展开更多
Supercontinuum generation in dispersion-flattened fibers is studied theoretically. It is found that the flat spectral width of the supereontinuum generation in normal dispersion-flattened fiber can be increased from 6...Supercontinuum generation in dispersion-flattened fibers is studied theoretically. It is found that the flat spectral width of the supereontinuum generation in normal dispersion-flattened fiber can be increased from 66 nm to over 100 nm when the absolute value of the initial frequency chirps is increased from zero to 10. It is further found that initial frequency chirps are adverse to flat and wideband supercontinuum generation in anomalous dispersion-flattened fiber, and when the absolute value of the frequency chirps is increased to a certain degree, supercontinuum spectrum even can not be achieved.展开更多
文摘本文在 A 集范畴 Ens-A 中引入局部化的概念.证明了如果 A 集 M 是内射(右投射、平坦),则其局部化后得到 S^(-1) A 集 S^(-1) M 也是内射(右投射、平坦),并由此推出如果交换幺半群 A 是完全内射(完全投射,绝对平坦)的.则半群局部化 S^(-1) A 亦分别具有上述性质.同时本文证明了对于 A 集 M 和 N,及 A 的子半群 S(S 满足条件:■_(S1,S2) ∈S,存在■ y ∈A,使得 ys_1=ys_2 ∈S)有 S^(-1) A 同构:S^(-1) (M■ N)≌S^(-1) M■S^(-1) N.
基金National Natural Science Foundation of China(60677051)Guangdong Natural Science Foundation of China(8151063301000004)
文摘Supercontinuum generation in dispersion-flattened fibers is studied theoretically. It is found that the flat spectral width of the supereontinuum generation in normal dispersion-flattened fiber can be increased from 66 nm to over 100 nm when the absolute value of the initial frequency chirps is increased from zero to 10. It is further found that initial frequency chirps are adverse to flat and wideband supercontinuum generation in anomalous dispersion-flattened fiber, and when the absolute value of the frequency chirps is increased to a certain degree, supercontinuum spectrum even can not be achieved.
