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群分次环与群分次模的分次基座 被引量:1
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作者 刘敏捷 易忠 廖贻华 《广西师范大学学报(自然科学版)》 CAS 2003年第3期34-37,共4页
利用群分次模的基座和Jacobson根、分次Jacobson根的性质,得到了群分次环与群分次模的分次基座的一些具体刻画,讨论了群分次环的基座、高阶基座和分次基座之间的关系.
关键词 分次 分次模 分次基座 JACOBSON根 分次JACOBSON根 最大分次理想 有限群 分次
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Ding分次模和强Ding分次模 被引量:1
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作者 韩静 梁力 《浙江大学学报(理学版)》 CAS CSCD 北大核心 2018年第6期656-660,共5页
研究了分次环R上的Ding分次投射(内射)R-模以及强Ding分次投射(内射)R-模,证明了任意分次环上的Ding分次投射(内射)模类是投射(内射)可解的.研究了强Ding分次投射(内射)R-模与Ding分次投射(内射)R-模之间的关系,以及强Ding分次投射(内射... 研究了分次环R上的Ding分次投射(内射)R-模以及强Ding分次投射(内射)R-模,证明了任意分次环上的Ding分次投射(内射)模类是投射(内射)可解的.研究了强Ding分次投射(内射)R-模与Ding分次投射(内射)R-模之间的关系,以及强Ding分次投射(内射)R-模与非分次的强Ding投射(内射)R-模之间的关系.证明了对有限群分次环R,若M是强Ding投射(内射)R-模,则F(M)是强Ding分次投射(内射)的;若N是强Ding分次投射(内射)R-模,则U(N)是强Ding投射(内射)的. 展开更多
关键词 Ding分次投射 Ding分次内射 强Ding分次投射 强Ding分次内射
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所有模均可分次的有限维路代数
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作者 武清宇 叶郁 《中国科学技术大学学报》 CAS CSCD 北大核心 2002年第2期164-171,180,共9页
论文通过引进箭图上的箭向函数和顶点可分模的概念 ,对任意模均可分次的路代数进行了完整的刻划 ,并给出了相应的一些等价条件 .本文还通过考察A_n型代数上的模的性质 。
关键词 有限维路代数 箭向函数 顶点分次模 零次生成 分次代数 A-n型代数 范畴
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分次单内射模及其刻画 被引量:1
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作者 梁春梅 王芳贵 吴小英 《广西师范大学学报(自然科学版)》 CAS 北大核心 2019年第2期113-120,共8页
本文引入了分次单内射模的概念。设R是分次环,分次R-模N称为分次单内射模,是指对任何分次单R-模S,有EXT1R(S,N)=0。也给出了分次单内射模的系列等价刻画,证明了若R是左分次Artin环,或R是分次Krull维数不超过1的分次Noether环,则分次模E... 本文引入了分次单内射模的概念。设R是分次环,分次R-模N称为分次单内射模,是指对任何分次单R-模S,有EXT1R(S,N)=0。也给出了分次单内射模的系列等价刻画,证明了若R是左分次Artin环,或R是分次Krull维数不超过1的分次Noether环,则分次模E是分次内射模当且仅当E是分次单内射模。 展开更多
关键词 分次 分次 分次内射 分次单内射 分次Noether环
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分次三角矩阵环的性质 被引量:3
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作者 任艳丽 王尧 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2003年第4期458-462,共5页
给定两个分次环 R = x∈ MRx,A = x∈ MAx和一个分次双模 V =RVA= x∈ MVx,可以得到一个分次三角矩阵环 T=R V0 A = x∈ MRx Vx0 Ax.对分次强π正则性、弱分次直有限性和与分次 J根密切相关的几个分次环性质 ,讨论了 T与 R,A之间的性质... 给定两个分次环 R = x∈ MRx,A = x∈ MAx和一个分次双模 V =RVA= x∈ MVx,可以得到一个分次三角矩阵环 T=R V0 A = x∈ MRx Vx0 Ax.对分次强π正则性、弱分次直有限性和与分次 J根密切相关的几个分次环性质 ,讨论了 T与 R,A之间的性质关系 . 展开更多
关键词 分次三角矩阵环 分次强π正则性 分次直有限性 分次JACOBSON根 分次 分次模
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群分次环的Clifford直接定理的推广 被引量:1
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作者 曾吉文 时洪波 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 2002年第3期269-271,共3页
推广了单模情形的分次环的直接Clifford定理 。
关键词 分次 Clifford直接定理 ABEL范畴 投射生成子 分次同态环 结合环 有限生成半单分次模
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群分次环的Clifford转移定理的推广
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作者 时洪波 曾吉文 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 2005年第4期458-460,共3页
本文为曾吉文等人的文章(文献[1])的继续,曾的文章推广了单模情形下分次环的C lifford直接理论,得到了对有限生成半单分次模情形下的C lifford直接理论.在此基础上,将单模上分次环的C lifford转移理论推广到有限生成半单模上的分次环的C... 本文为曾吉文等人的文章(文献[1])的继续,曾的文章推广了单模情形下分次环的C lifford直接理论,得到了对有限生成半单分次模情形下的C lifford直接理论.在此基础上,将单模上分次环的C lifford转移理论推广到有限生成半单模上的分次环的C lifford转移理论. 展开更多
关键词 CLIFFORD 转移 分次 定理 有限生成 半单 分次模 文章
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分次余同调维数
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作者 李先贤 程福长 《广西师范大学学报(自然科学版)》 CAS 1998年第1期8-11,共4页
主要把Auslander-Buchsbaum定理推广到分次环情形,更为精细地刻划了交换NoetherGr-局部正则Z-分次环的同调维数.
关键词 分次 分次模 Cr-局部环 NOETHER环 同调维数
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分次代数的分次Jacobson根 被引量:1
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作者 王尧 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2002年第3期32-35,共4页
证明了对于一般Monoid分次R -代数A(A未必有 1 ,R是有 1的交换环 )的分次Jacobson根J′G(A)与作为分次环A的分Jacobson根相等 ,并给出了J′G(A)的几个特征 .
关键词 分次代数 弱正则分次理想 分次本原理想 分次JACOBSON根 分次 分次单代数
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Gr-NoetherGr-半局部环的同调维数 被引量:6
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作者 李先贤 程福长 《广西师范大学学报(自然科学版)》 CAS 1997年第1期13-17,共5页
进一步刻划了 Gr- Noether Gr-半局部环的同调维数 ,把半局环同调维数的结果推广到一般的 Gr-半局部环 .
关键词 分次 分次模 Gr-半局部环 同调维数
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Gr-弱半局部环的同调性质 被引量:2
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作者 张积成 《广西师范大学学报(自然科学版)》 CAS 1998年第1期18-22,共5页
Vasconcelos[1~2]和xu-cheng[3],分别研究了交换凝聚局部环和非交换凝聚半局部环的同调维数.赵逸才[4]研究了一类更广泛的环类-交换凝聚弱半局部环的同调性质.本文将引进Gr-弱半局部环,刻画了交... Vasconcelos[1~2]和xu-cheng[3],分别研究了交换凝聚局部环和非交换凝聚半局部环的同调维数.赵逸才[4]研究了一类更广泛的环类-交换凝聚弱半局部环的同调性质.本文将引进Gr-弱半局部环,刻画了交换Gr-弱半局部环的若干同调性质,所得的结果包含了赵逸才的工作.设R=g∈GRg是交换Gr-分次环,G是乘法群,Jg(R)表示R的分次Jacobson根.如果R/Jg(R)是Gr-VN正则环[5],则称R为Gr-弱半局部环.本文中的符号和术语与文献[5]一致. 展开更多
关键词 分次模 Gr弱半局部环 分次 同调性质
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Toeplitz算子■的双稳定性
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作者 胡朝龙 王绪迪 闵涛 《西安理工大学学报》 CAS 北大核心 2019年第4期501-505,共5页
由Hilbert空间分次模理论可知,对某个算子双稳定性的刻画可以对该算子不可约性的证明起到关键性作用。本文从Toeplitz算子T z+w的结构出发,利用分次模理论,得到了在一般函数空间中由Toeplitz算子T z+w所诱导的分次模具有双稳定性的结果。
关键词 TOEPLITZ算子 分次模 双稳定性 不可约性
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一些Krull-Schmidt范畴的新例子及一个应用
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作者 杜家春 黄华林 叶郁 《数学年刊(A辑)》 CSCD 北大核心 2008年第5期627-632,共6页
利用Warfield的一个引理,发现了三类新的Krull-Schmidt范畴.作为应用,得到了一些(余)模的分次唯一性.
关键词 局部有限 Krull-Schmidt范畴 分次(余)
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Environmental impact evaluation for high-speed railway 被引量:4
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作者 宋晓东 付延冰 +1 位作者 陈治亚 刘恒斌 《Journal of Central South University》 SCIE EI CAS 2014年第6期2366-2371,共6页
Environmental impact evaluation system boundary of high-speed railway was defined based on the total life cycle theory,and the index system to evaluate the environmental impact of high-speed railway was established wi... Environmental impact evaluation system boundary of high-speed railway was defined based on the total life cycle theory,and the index system to evaluate the environmental impact of high-speed railway was established with the fuzzy analytic hierarchy method,and the matter-element evaluation model was established on the basis of the extension theory.By calculating its comprehensive interrelatedness,the evaluation rank of environment impacts of high-speed railway was determined.The numerical example shows that the model has vast prospect,which can not only expand the application areas of extension theory,but also change the traditional evaluation methods and provide new ideas and means for environmental impact evaluation of high-speed railway. 展开更多
关键词 high-speed railway life cycle environmental impact EVALUATION MATTER-ELEMENT
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Risk assessment of water inrush in tunnels based on attribute interval recognition theory 被引量:6
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作者 WANG Sheng LI Li-ping +3 位作者 CHENG Shuai HU Hui-jiang ZHANG Ming-guang WEN Tao 《Journal of Central South University》 SCIE EI CAS CSCD 2020年第2期517-530,共14页
Water inrush is one of the most serious geological hazards in underground engineering construction.In order to effectively prevent and control the occurrence of water inrush,a new attribute interval recognition theory... Water inrush is one of the most serious geological hazards in underground engineering construction.In order to effectively prevent and control the occurrence of water inrush,a new attribute interval recognition theory and method is proposed to systematically evaluate the risk of water inrush in karst tunnels.Its innovation mainly includes that the value of evaluation index is an interval rather than a certain value;the single-index attribute evaluation model is improved non-linearly based on the idea of normal distribution;the synthetic attribute interval analysis method based on improved intuitionistic fuzzy theory is proposed.The TFN-AHP method is proposed to analyze the weight of evaluation index.By analyzing geological factors and engineering factors in tunnel zone,a multi-grade hierarchical index system for tunnel water inrush risk assessment is established.The proposed method is applied to ventilation incline of Xiakou tunnel,and its rationality and practicability is verified by comparison with field situation and evaluation results of other methods.In addition,the results evaluated by this method,which considers that water inrush is a complex non-linear system and the geological conditions have spatial variability,are more accurate and reliable.And it has good applicability in solving the problem of certain and uncertain problem. 展开更多
关键词 water inrush risk assessment attribute interval recognition model TFN-AHP
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Application of fuzzy analytic hierarchy process and neural network in power transformer risk assessment 被引量:8
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作者 李卫国 俞乾 罗日成 《Journal of Central South University》 SCIE EI CAS 2012年第4期982-987,共6页
In operation,risk arising from power transformer faults is of much uncertainty and complicacy.To timely and objectively control the risks,a transformer risk assessment method based on fuzzy analytic hierarchy process(... In operation,risk arising from power transformer faults is of much uncertainty and complicacy.To timely and objectively control the risks,a transformer risk assessment method based on fuzzy analytic hierarchy process(FAHP) and artificial neural network(ANN) from the perspective of accuracy and quickness is proposed.An analytic hierarchy process model for the transformer risk assessment is built by analysis of the risk factors affecting the transformer risk level and the weight relation of each risk factor in transformer risk calculation is analyzed by application of fuzzy consistency judgment matrix;with utilization of adaptive ability and nonlinear mapping ability of the ANN,the risk factors with large weights are used as input of neutral network,and thus intelligent quantitative assessment of transformer risk is realized.The simulation result shows that the proposed method increases the speed and accuracy of the risk assessment and can provide feasible decision basis for the transformer risk management and maintenance decisions. 展开更多
关键词 fuzzy analytic hierarchy process risk assessment power transformer artificial neutral network
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System failure analysis based on DEMATEL–ISM and FMECA 被引量:2
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作者 申桂香 孙曙光 +3 位作者 张英芝 王志琼 陈炳锟 马闯 《Journal of Central South University》 SCIE EI CAS 2014年第12期4518-4525,共8页
A new method of system failure analysis was proposed. First, considering the relationships between the failure subsystems,the decision making trial and evaluation laboratory(DEMATEL) method was used to calculate the d... A new method of system failure analysis was proposed. First, considering the relationships between the failure subsystems,the decision making trial and evaluation laboratory(DEMATEL) method was used to calculate the degree of correlation between the failure subsystems, analyze the combined effect of related failures, and obtain the degree of correlation by using the directed graph and matrix operations. Then, the interpretative structural modeling(ISM) method was combined to intuitively show the logical relationship of many failure subsystems and their influences on each other by using multilevel hierarchical structure model and obtaining the critical subsystems. Finally, failure mode effects and criticality analysis(FMECA) was used to perform a qualitative hazard analysis of critical subsystems, determine the critical failure mode, and clarify the direction of reliability improvement.Through an example, the result demonstrates that the proposed method can be efficiently applied to system failure analysis problems. 展开更多
关键词 system failure analysis related failure decision making and evaluation laboratory-interpretative structural modeling(DEMATEL-ISM) failure mode effects and criticality analysis(FMECA)
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Evaluation methods of man-machine-environment system for clean and safe production in phosphorus mines: A case study 被引量:6
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作者 DONG Long-jun ZHOU Ying +2 位作者 DENG Si-jia WANG Mei SUN Dao-yuan 《Journal of Central South University》 SCIE EI CAS CSCD 2021年第12期3856-3870,共15页
Phosphorus is an essential element in agricultural production and chemical industry. However, since the risk of casualties and economic loss by mining accidents, the application of clean and safe production in phospho... Phosphorus is an essential element in agricultural production and chemical industry. However, since the risk of casualties and economic loss by mining accidents, the application of clean and safe production in phosphorus mines encounters great challenges. For this purpose, a man-machine-environment system composed of evaluation indexes was established, and the grading standards of indexes were defined. Firstly, the measurements of 39 qualitative indexes were obtained through the survey data. According to the measured values of 31 quantitative indexes, the measurements of quantitative indexes were calculated by linear measurement function(LM) and other three functions. Then the singleindex measurement evaluation matrixes were established. Secondly, the entropy weight method was used to determine the weights of each index directly. The analytic hierarchy process(AHP) was also applied to calculate the weights of index and index factor hierarchies after the established hierarchical model. The weights of system hierarchies were given by the grid-based fuzzy Borda method(GFB). The comprehensive weights were determined by the combination method of AHP and GFB(CAG). Furthermore, the multi-index comprehensive measurement evaluation vectors were obtained.Thirdly, the vectors were evaluated by the credible degree recognition(CDR) and the maximum membership(TMM)criteria. Based on the above functions, methods, and criteria, 16 combination evaluation methods were recommended.Finally, the clean and safe production grade of Kaiyang phosphate mine in China was evaluated. The results show that the LM-CAG-CDR is the most reasonable method, which can not only determine the clean and safe production grade of phosphorus mines, but also improve the development level of clean and safe mining of phosphorus mines for guidance.In addition, some beneficial suggestions and measures were also proposed to advance the clean and safe production grade of Kaiyang phosphorus mine. 展开更多
关键词 phosphorus mines clean and safe production man-machine-environment system unascertained measurement evaluation grid-based fuzzy borda method analytic hierarchy process
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