Higher moments of certain <Emphasis Type="Italic">L</Emphasis>-functions on the critical line

We study the sixth-power moments of certain L-functions belonging to a sub-class of the Selberg’s class on the critical line and, using this, we conclude an upper bound for the fourth-power moments of certain L-functions related to GL ₃ on the critical line. This is an analogue of the upper bound for the twelfth-power moment of the Riemann zeta-function on the critical line. Published in Lietuvos Matematikos Rinkinys, Vol. 47, No. 3, pp. 341–380, July–September, 2007.     

Stanley-Reisner ideals whose powers have finite length cohomologies

We introduce a class of Stanley-Reisner ideals called a generalized complete intersection, which is characterized by the property that all the residue class rings of powers of the ideal have FLC. We also give a combinatorial characterization of such ideals.

     

The Semigroup Characterizations of Positive Implicative BCK—algebras

§１．　ＩｎｔｒｏｄｕｃｔｉｏｎＢｙａＢＣＩ－ａｌｇｅｂｒａｗｅｍｅａｎａｎａｌｇｅｂｒａ（Ｘ，，０）ｏｆｔｙｐｅ（２，０）ｗｉｔｈｔｈｅｆｏｌｌｏｗｉｎｇｃｏｎｄｉ－ｔｉｏｎｓ：（１）（（ｘｙ）（ｘｚ））（ｚｙ）＝０；（２）（ｘ（ｘｙ））ｙ＝０；（３）ｘｘ＝０；（４）ｘｙ＝ｙｘ＝０ｉｍｐｌｉｅｓｘ＝ｙ．ＩｆａＢＣＩ－ａｌｇｅｂｒａ（Ｘ，，０）ｓａｔｉｓｆｉｅｓ（５）０ｘ＝０．ｔｈｅｎｉｔｉｓｃａｌｌｅｄａＢＣＫ－ａｌｇｅｂｒａ．ＩｎａＢＣＩ－ａｌｇｅｂｒａ，ｔｈｅｆ…     

Remarks on Maximal Attractors for the Compressible Navier-Stokes Equations of Viscous and Heat Conductive Fluid

This paper is concerned with the existence of maximal attractors in Hi (i = 1, 2,4) for the compressible Navier-Stokes equations for a polytropic viscous heat conductive ideal gas in bounded annular domains Ωn in Rn(n = 2,3).     

关于理想气体的绝热过程方程

求出经典和量子理想气体的绝热过程方程，并进行了一些必要的讨论．     

BCI-代数中的几种理想

BCI－代数中的理想是一个极其重要的概念，本文引入两类不同的理想，即广义结合理想与拟右交错理想，研究了他们与思想，结合理想，P－理想的关系，并用广义结合理想子代数，刻画了广义结合BCI－代数，指明了拟右交错理想与结合理想的不同之处，用拟右交错理想刻画了拟右交错BCI－代数。     

PID环上矩阵模的保秩1映射及应用

设Ｒ为含１主理想整环（简记为ＰＩＤ），本文刻划了矩阵模Ｍｎ（Ｒ）上保秩１线性映射的形式；作为其应用，给出了域上矩阵空间的保线性群及Ｍｎ（Ｒ）上保非零行列线性映射的形式，即它们为：Ｔ（Ｘ）＝ＰＸＱ，Ａ↑Ｘ∈Ｍｎ（Ｒ），或Ｔ（Ｘ）＝ＰＸｔＱ，Ａ↑Ｘ∈Ｍｎ（Ｒ）。其中ｄｅｔ（ＰＱ）≠０。     

Rings over which each module possesses a maximal submodule

Right Bass rings are investigated, that is, rings over which any nonzero right module has a maximal submodule. In particular, it is proved that if any prime quotient ring of a ringA is algebraic over its center, thenA is a right perfect ring iffA is a right Bass ring that contains no infinite set of orthogonal idempotents. Translated fromMatematicheskie Zametki, Vol. 61, No. 3, pp. 407–415, March, 1997. Translated by A. I. Shtern