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一类广义幂级数环的有限维数
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作者 姚海楼 郭莹 平艳茹 《北京工业大学学报》 CAS CSCD 北大核心 2014年第5期796-800,共5页
令R是一个有单位元的完备的凝聚交换环,研究并比较了R的有限维数与R上的广义幂级数环[[R≤,S]]的有限维数的关系,得到了一些有限维数不等式.结果表明:如果R是一个完备的凝聚的有单位元的交换环,则R的有限投射维数不超过[[RS,≤]]的有限... 令R是一个有单位元的完备的凝聚交换环,研究并比较了R的有限维数与R上的广义幂级数环[[R≤,S]]的有限维数的关系,得到了一些有限维数不等式.结果表明:如果R是一个完备的凝聚的有单位元的交换环,则R的有限投射维数不超过[[RS,≤]]的有限投射维数;令R是一个完备的凝聚的有单位元的交换环,则R的有限内射维数不超过[[RS,≤]]的有限内射维数;如果R是一个完备的凝聚的有单位元的交换环,则R的有限弱维数不超过[[RS,≤]]的有限弱维数. 展开更多
关键词 广幂级 有限维数
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交叉积群代数有限维数问题的一点注记
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作者 张棉棉 曹海军 《数学物理学报(A辑)》 CSCD 北大核心 2014年第3期638-642,共5页
设G是一个有限群,k是一个代数闭域且k的特征不整除G的阶.Λ是一个扭kG-模代数,Λ*G是一个交叉积代数.该文证明Λ*G和Λ具有相同的有限维数,且同时满足有限维数猜想定理.
关键词 交叉积群代 有限维数猜想
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投射模的自同态代数与有限维猜想
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作者 温道伟 刘伟 《高校应用数学学报(A辑)》 CSCD 北大核心 2018年第1期105-112,共8页
设代数A是整体维数有限的Artin代数,e是A的一个幂等元,则e Ae的有限维数有限,如果以下条件满足其一:(a)rep.dim(A/Ae A)≤3,且对任意单A/Ae A-模K,有proj.dim(AK)≤4;(b)对任意单A/Ae A-模K,都有proj.dim(AK)≤3.
关键词 有限维数猜想 整体 自同态代
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合冲定理与SF.P.-维数
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作者 冯良贵 《江西师范大学学报(自然科学版)》 CAS 1995年第1期43-46,共4页
该文在模的有限呈现维数的基础上,引进环的SF.P.-维数,得到了SF.P.-维数的合冲定理,从而肯定地回答了存在SF.P.-维数为任意正整数的环.
关键词 合冲定理 凝聚环 有限呈现
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群环的几种同调维数
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作者 佟文廷 《数学年刊(A辑)》 CSCD 北大核心 1992年第B06期39-46,共8页
设R为有单位元的G为群,本文给出了群环RG的整体同调维数,弱维数及有限表示维数与R的相应维数之间的关系,由这些关系出发,本文还给出了RG的环结构与R的环结构及G的群结构之间的一些关系,过去有关的一些经典结果是本文结果的特例。
关键词 群环 同调 西模 有限表示
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有关Gorenstein投射猜想的一个注记
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作者 张孝金 《南京信息工程大学学报(自然科学版)》 CAS 2012年第2期190-192,共3页
证明了对一个Artinian代数A,如果它的左有限维数或右有限维数有限,则A满足Gorenstein投射猜想.由此可知,Gorenstein代数和表示维数小于等于3的代数上的Gorenstein投射猜想是成立的.
关键词 有限维数 GORENSTEIN代 Gorenstein投射猜想
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时变时滞粘弹性板方程的整体吸引子
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作者 卢瑞涵 任永华 《应用数学》 CSCD 北大核心 2020年第2期263-274,共12页
本文研究内部反馈中具有历史和时变时滞的粘弹性板方程.首先利用Faedo-Galerkin方法证得方程在初边值条件下解的适定性定理;其次通过构造合适的能量泛函和Lyapunov泛函证明系统的梯度性;最后利用乘子泛函建立稳定不等式,证明系统的拟稳... 本文研究内部反馈中具有历史和时变时滞的粘弹性板方程.首先利用Faedo-Galerkin方法证得方程在初边值条件下解的适定性定理;其次通过构造合适的能量泛函和Lyapunov泛函证明系统的梯度性;最后利用乘子泛函建立稳定不等式,证明系统的拟稳定性及渐近光滑性,从而得到整体吸引子的存在性,并证明了该吸引子具有有限分形维数. 展开更多
关键词 板方程 粘弹性 时变时滞 整体吸引子 有限分形
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Two-stage optimization model for renewing warranty considering warranty deadline
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作者 SU Chun YANG Xiao-tian 《Journal of Central South University》 SCIE EI CAS CSCD 2019年第10期2845-2853,共9页
Renewing warranty can provide customers with better service,and thus help manufacturers to gain market opportunities.In engineering practice,the cost for replacement is usually higher than the cost for maintenance,hen... Renewing warranty can provide customers with better service,and thus help manufacturers to gain market opportunities.In engineering practice,the cost for replacement is usually higher than the cost for maintenance,hence manufacturers often face huge challenge to reduce the warranty service cost.With consideration of the warranty deadline,we propose a two-stage optimization model for renewing warranty.In the first stage,a renewing warranty with deadline(RWD)policy is implemented,where the deadline represents the cumulative uptime threshold.When the cumulative uptime exceeds the deadline,the product will be minimally repaired and kept to the residual warranty period.When RWD is expired,the replacement warranty with limited repairs(RWLR)policy is applied.Under the free replacement and pro-rata warranty policy,the corresponding two-stage cost optimization model is established from the manufacturer’s perspective,the aim is to minimize the cost rate and obtain the optimal warranty period.A numerical example is provided to illustrate the validity of the proposed model,and the sensitivity analysis is also carried out. 展开更多
关键词 renewing warranty with deadline limited repairs minimal repair warranty cost rate
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Numerical simulation of tire/soil interaction using a verified 3D finite element model 被引量:6
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作者 Namjoo Moslem Golbakhshi Hossein 《Journal of Central South University》 SCIE EI CAS 2014年第2期817-821,共5页
The compaction and stress generation on terrain were always investigated based on empirical approaches or testing methods for tire/soil interaction.However,the analysis should be performed for various tires and at dif... The compaction and stress generation on terrain were always investigated based on empirical approaches or testing methods for tire/soil interaction.However,the analysis should be performed for various tires and at different soil strengths.With the increasing capacity of numerical computers and simulation software,finite element modeling of tire/terrain interaction seems a good approach for predicting the effect of change on the parameters.In this work,an elaborated 3D model fully complianning with the geometry of radial tire 115/60R13 was established,using commercial code Solidwork Simulation.The hyper-elastic and incompressible rubber as tire main material was analyzed by Moony-Rivlin model.The Drucker-Prager yield criterion was used to model the soil compaction.Results show that the model realistically predicts the laboratory tests outputs of the modeled tire on the soft soil. 展开更多
关键词 tire/soil interaction finite element method(FEM) soil compaction stress distribution inflation pressure
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Numerical analysis on Joule heating of double-loop channel induction furnaces 被引量:1
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作者 赵涛 周孑民 +1 位作者 熊家政 李勇 《Journal of Central South University》 SCIE EI CAS 2009年第5期851-856,共6页
In order to investigate Joule heating power,a three-dimensional finite element model(FEM) was developed to predict Joule heating power in the channels of double-loop inductor. The simulated results were compared with ... In order to investigate Joule heating power,a three-dimensional finite element model(FEM) was developed to predict Joule heating power in the channels of double-loop inductor. The simulated results were compared with experimental data from low load trials for a 400 kW inductor. The results,such as power factor and Joule heating power,show reasonable correlation with experimental data,and Joule heating rate reaches the maximum at the corners and the minimum at the centre of the cross-section area. With increasing relative permeability of iron core,length of coils,current frequency and resistivity of metal melt,the power factor and Joule heating power change. It is concluded that current frequency,the resistivity and length of the coil play a critical role in determining the power factor and Joule heating power,whereas relative permeability of the magnetic core shows no significant influence on them. 展开更多
关键词 numerical simulation channel induction furnace Joule heating power factor
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