导代数DAn的Krull维数与外乘积

证明了非零特征域上导代数ＤＡｎ的Ｋｒｕｌｌ维数等于ｎ，并讨论了ＤＡｎ模的外乘积，以及外乘积的滤子与分次结构，Ｇｅｌｆａｎｄ－Ｋｉｒｉｌｌｏｖ维数和重数。     

On the Computation of Noether Normalization

This paper considered the Noether normalization of a finitely generated algebra over an algebraically closed field. It gives a necessary and sufficient condition as well as an algorithm for the identification of those algebraically independent variables, then uses these elements to construct the Noether normalization of this algebra.     

FILTERED-GRADED TRANSFER OF SAGBI BASES IN SOLVABLE POLYNOMIAL ALGEBRAS

IntroductionThe method of SAGBI bases calculations in-troduced by Refs.[1 ,2 ]has turned out to be apowerful tool in the subalgebra theory of solvablepolynomial algebras(including commutative poly-nomial algebras,iterated Ore extensions,universalenveloping algebras of finite dimensional Lie alge-bras and particulary Weyl algebras) [3 ] .The aboveSAGBI bases give well hehaved generating sets ofsubalgebras.In this paper,by mimicking Li andWu' s method of filtered- graded transfer of Groeb…     

RELATIONS OF DERIVATIVE ALGEBRA AND RING OF DIFFERENTIAL OPERATORS IN CHARACTERISTIC p>0

Let K be a field of characteristic p>0. We prove that the derivative algebra of K[x1,…,xn] is a proer subring of the ring of differential operators of K[x1,…,xn]. A concrete example is given to show that there is a differential operator of order p that does not belong to the derivative algebra. By these results, is follows that the derivative algebra is Morita equivalent to K[xp1,…,xpn], and hence its global homological dimension, Krull dimension, K0 group and some other properties are got.     

RELATIONS OF DERIVATIVE ALGEBRA AND RING OF DIFFERENTIAL OPERATORS IN CHARACTERISTIC p>0

Introduction　　 Let K be a field,K [X ]∶=K [x1,… ,xn]bethe polynomial ring in n variables.We know thatwhen K is a field with ch( K ) =0 ,then the Weylalgebra An( K) ,the ring of differential operatorsD( K[X]) ,and the derivative algebraΔ ( K [X])which is generated by{xi, i| i=1 ,… ,n}in End KK[X]are all isomorphic[1～ 3 ] .But if ch( K) =p>0 ,the three do not have that relation.In factΔ( K[X]) is only a quotientof An( K) [4] ;and Ref.[5 ]gives a comprehensive study to the rela…     

动载效应对小半径无缝轨道横向位移影响分析

推导了小半径无缝线路轨道在温度力和列车动力共同作用下的单元方程,用有限元方法分析了温度力及列车动荷载对小半径无缝线路轨道横向位移的影响.提出了控制小半径轨道横向位移的加固措施,对各种计算工况条件下的小半径无缝线路轨道横向位移计算结果进行了对比分析.提出了动力效应系数的概念用来分析列车动荷载对小半径无缝线路轨道横向位移的影响程度.     

菲律宾PGN跨海大桥地震动参数及土层地震反应分析

菲律宾位于亚欧板块和太平洋板块的交界处,属于环太平洋地震带,地震活动频繁。在此区域建设超大规模的跨海大桥工程,作为主要的控制条件,地震动参数的合理确定是实现大桥在强震作用下安全稳定的前提,建设场地的地震反应分析和地震动参数的选取直接关系着项目的建设规模。文章以地震危险性分析为基础,通过水平地震动加速度衰减关系方程,求得建筑场地水平向基岩峰值加速度和反应谱,得出重现期为475年的地震动值均值,最后计算场地土层地震反应,完成菲律宾PGN跨海大桥的工程抗震设计所需要的地震动参数。