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M-强对称环
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作者 朱利民 吴俊 费盼盼 《杭州师范大学学报(自然科学版)》 CAS 2014年第6期655-659,共5页
设M是幺半群,作为强对称环的一般推广,引入了M-强对称环的概念,研究了M-强对称环的基本性质,得到了M-强对称环的一些刻画.
关键词 u.p.幺半群 强对称环 M-强对称环 约化 古典右商
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具有强对称自同态的环及其扩张 被引量:3
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作者 王尧 薛岭 任艳丽 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2014年第5期861-868,共8页
设α为环R的自同态,如果对任意的a,b,c∈R,由abα(c)=0可推出acb=0,则称R是强右α-对称环.研究强α-对称环与对称环、强α-可逆环、强α-半交换环等相关环的关系及强α-对称环的扩张性质,证明了:1)环R是强α-对称环当且仅当R是对称环且... 设α为环R的自同态,如果对任意的a,b,c∈R,由abα(c)=0可推出acb=0,则称R是强右α-对称环.研究强α-对称环与对称环、强α-可逆环、强α-半交换环等相关环的关系及强α-对称环的扩张性质,证明了:1)环R是强α-对称环当且仅当R是对称环且是α-compatible环;2)设R是约化环,则R是强α-对称环当且仅当R[x;α]是强α-对称环;3)设α是右Ore环R的自同构,则环R是强α-对称环当且仅当Q(R)是强α-对称环. 展开更多
关键词 α-对称 α-可逆 α-半交换 α-compatible 经典右商 斜多项式
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强M-α-对称环及其扩张
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作者 任艳丽 耿道宏 《数学理论与应用》 2018年第3期12-17,共6页
设M是一个幺半群,α是环R上的一个自同态.本文引入强M-α-对称环的概念,研究具有环同态的M-对称环的性质.用经典环论方法证明:(1)R是强右M-α-对称环当且仅当R是强左M-α-对称环;(2)如果R是右Ore环,α是R的一个自同构,则R是强M-α-对称... 设M是一个幺半群,α是环R上的一个自同态.本文引入强M-α-对称环的概念,研究具有环同态的M-对称环的性质.用经典环论方法证明:(1)R是强右M-α-对称环当且仅当R是强左M-α-对称环;(2)如果R是右Ore环,α是R的一个自同构,则R是强M-α-对称环当且仅当R的右商环Q是强M-a-对称环. 展开更多
关键词 对称 α-对称 M-对称 M-α-对称
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强α-弱对称环
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作者 薛岭 王尧 任艳丽 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2016年第2期14-18,共5页
引进了强α-弱对称环的概念并研究其基本性质,讨论了强α-弱对称环与弱对称环、强α-弱半交换环等相关环的关系,给出强α-弱对称环的一些扩张性质,得到了判定强α-弱对称环的几个充要条件.
关键词 α-弱对称 α-弱半交换 弱α-相容 NI 斜多项式
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Study on High-Temperature Spectra of Asymptotic Asymmetric-Top Molecule O_3 被引量:1
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作者 SONG Xiao-Shu GUO Yun-Dong +3 位作者 LING-HU Rong-Feng Lv Bing CHENG Xin-Lu YANG Xiang-Dong 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第8期481-485,共5页
The line intensities of 001-000 transition of the asymptotic asymmetric-top Oa molecule at several temperatures are calculated by directly calculating the partition functions and regarding the rotationless transition ... The line intensities of 001-000 transition of the asymptotic asymmetric-top Oa molecule at several temperatures are calculated by directly calculating the partition functions and regarding the rotationless transition dipole moment squared as a constant. The calculated values of the total internM partition sums (TIPS) are consistent with the data of HITRAN database with -0.61% at 296 K. The calculated line intensity data at 500 K and 3000 K are also in excellent agreement with the data in HITRAN database with less than 0.659% and 5.458% at 500 K and 3000 K, which provide a strong support for the calculations of partition function and fine intensity at high temperature. Then we extend the calculation to higher temperatures. The line intensities and simulated spectra of v3 band of the asymptotic asymmetric-top O3 molecule at 4000 and 5000 K are reported. The results are of significance for the studying of the molecular high-temperature spectrum including experimental measurements and theoretical calculations. 展开更多
关键词 asymptotic asymmetric-top molecule line intensities partition functions high temperature spectrum
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Numerical simulations on origin of Galilean moons' magnetic anomalies 被引量:1
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作者 JIAO LiGuo KUANG WeiJia MA ShiZhuang 《Science China Earth Sciences》 SCIE EI CAS 2011年第11期1754-1760,共7页
Galileo mission detected the magnetic anomalies originated from Galilean moons.These anomalies are likely generated in the moons' interiors,under the influence of a strong ambient Jovian field.Among various possib... Galileo mission detected the magnetic anomalies originated from Galilean moons.These anomalies are likely generated in the moons' interiors,under the influence of a strong ambient Jovian field.Among various possible generation mechanisms of the anomalies,we focus on magneto-convection and dynamos in the interiors via numerical simulation.To mimic the electromagnetic environment of the moons,we introduce in our numerical model an external uniform magnetic field B0 with a fixed orientation but varying field strength.Our results show that a finite B0 can substantially alter the dynamo processes inside the core.When the ambient field strength B0 increases to approximately 40% of the field generated by the pure dynamo action,the convective state in the core changes significantly:the convective flow decreases by 80% in magnitude,but the differential rotation becomes stronger in much of the fluid layer,leading to a stronger field generated in the core.The field morphologies inside the core tend to align with the ambient field,while the flow patterns show the symmetry-breaking effect under the influence of B0.Furthermore,the generated field tends to be temporally more stable. 展开更多
关键词 Galilean moons magnetic fields magneto-convection DYNAMO
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