Let R be a prime ring and m, n be fixed non-negative integers such that m＋n ≠ 0. Suppose L is an （m＋m＋1）-power closed Lie ideal, and this means ure＋n＋1 ∈ L for all u ∈ L. If charR = 0 or a prime p 〉 2（m ...Let R be a prime ring and m, n be fixed non-negative integers such that m＋n ≠ 0. Suppose L is an （m＋m＋1）-power closed Lie ideal, and this means ure＋n＋1 ∈ L for all u ∈ L. If charR = 0 or a prime p 〉 2（m ＋ n）, we characterize the additive maps d： L → R satisfying d（um＋n＋1） = （m -＋n ＋ 1）umd（u）un （resp., d（um＋n＋l） = umd（u）un） for all u ∈ L.展开更多
In this paper, the genetic algorithms are applied to the optimization problem of magnet sorting in an electron storage ring, according to which the objectives are set so that the closed orbit distortion and beta beati...In this paper, the genetic algorithms are applied to the optimization problem of magnet sorting in an electron storage ring, according to which the objectives are set so that the closed orbit distortion and beta beating can be minimized and the dynamic aperture maximized. The sorting of dipole, quadrupole and sextupole magnets is optimized while the optimization results show the power of the application of genetic algorithms in magnet sorting.展开更多
Aim Syntheses of benzodioxane neolignans. Method The SN2 reaction and Corey-Fuchs reaction was used to synthesize Rodgersinine A, 4-[3-methyl-7-[（E）-1-propenyl-2, 3-dihydro-1, 4-benzodioxin-2-yl]-l, 2-benzenediol （...Aim Syntheses of benzodioxane neolignans. Method The SN2 reaction and Corey-Fuchs reaction was used to synthesize Rodgersinine A, 4-[3-methyl-7-[（E）-1-propenyl-2, 3-dihydro-1, 4-benzodioxin-2-yl]-l, 2-benzenediol （1） and Rodgersinine B, 4- [3-methyl- 7-（1-propynyl）-2, 3-dihydro- 1, 4-benzodioxin-2-yl]-0, 2-benzenediol （2）. Results Total synthesis ofRodgersinine A and B was first completed. Conclusion A useful method for constructing benzodioxane neolignans by the SN2 reaction is achieved.展开更多
基金National Natural Science Foundation of China(5117222151472227)+2 种基金Major Program of Scientific Instrument and Equipment Development of China(2011YQ140145)National High Technology Research and Development Program of China(863 Program2015AA034204)
文摘Let R be a prime ring and m, n be fixed non-negative integers such that m＋n ≠ 0. Suppose L is an （m＋m＋1）-power closed Lie ideal, and this means ure＋n＋1 ∈ L for all u ∈ L. If charR = 0 or a prime p 〉 2（m ＋ n）, we characterize the additive maps d： L → R satisfying d（um＋n＋1） = （m -＋n ＋ 1）umd（u）un （resp., d（um＋n＋l） = umd（u）un） for all u ∈ L.
基金Supported by National Natural Science Foundation of China(10979045,11175180,11175182)
文摘In this paper, the genetic algorithms are applied to the optimization problem of magnet sorting in an electron storage ring, according to which the objectives are set so that the closed orbit distortion and beta beating can be minimized and the dynamic aperture maximized. The sorting of dipole, quadrupole and sextupole magnets is optimized while the optimization results show the power of the application of genetic algorithms in magnet sorting.
基金Program for Changjiang Scholars and Innovative Team in University(985-2-063-112).
文摘Aim Syntheses of benzodioxane neolignans. Method The SN2 reaction and Corey-Fuchs reaction was used to synthesize Rodgersinine A, 4-[3-methyl-7-[（E）-1-propenyl-2, 3-dihydro-1, 4-benzodioxin-2-yl]-l, 2-benzenediol （1） and Rodgersinine B, 4- [3-methyl- 7-（1-propynyl）-2, 3-dihydro- 1, 4-benzodioxin-2-yl]-0, 2-benzenediol （2）. Results Total synthesis ofRodgersinine A and B was first completed. Conclusion A useful method for constructing benzodioxane neolignans by the SN2 reaction is achieved.
