Theta Subgroups and the Solvability of FiniteGroups

§１．　ＩｎｔｒｏｄｕｃｔｉｏｎａｎｄＤｅｆｉｎｉｔｉｏｎＡｌｌｇｒｏｕｐｓｔｒｅａｔｅｄａｒｅｆｉｎｉｔｅ．Ｉｎ［１］，Ｎ．Ｐ．ＭｕｋｈｅｒｊｅｅａｎｄＰ．Ｂｈａｔｔａｃｈａｒｙａｄｅｆｉｎｅｄｔｈｅｃｏｎｃｅｐｔｏｆθ－ｐａｉｒｓａｓｓｏｃｉａｔｅｄｔｏａｍａｘｉｍａｌｓｕｂｇｒｏｕｐＭｏｆａｇｒｏｕｐＧａｓｆｏｌｌｏｗｓ：ａθ－ｐａｉｒｆｏｒＭｉｓａｎｙｐａｉｒｏｆｓｕｂｇｒｏｕｐｓ（Ｃ，Ｄ）ｏｆＧｓｕｃｈｔｈａｔ（１）ＤＧ，Ｄ＜Ｃ，（２）〈Ｍ，Ｃ〉＝Ｇ，〈Ｍ，Ｄ〉＝Ｍａｎｄ（３）Ｃ／Ｄ…     

Equivalent Representations of Complex Positive Definite Matrices

ＥｑｕｉｖａｌｅｎｔＲｅｐｒｅｓｅｎｔａｔｉｏｎｓｏｆＣｏｍｐｌｅｘＰｏｓｉｔｉｖｅＤｅｆｉｎｉｔｅＭａｔｒｉｃｅｓ￥ＰａｎｇＭｉｎｇｘｉａｎ（逄明贤）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＪｉｌｉｎＴｅａｃｈｅｒ＇ｓＣｏｌｌｅｇｅ，Ｊｉ...     

A Chaotic System May be Simple

ＡＣｈａｏｔｉｃＳｙｓｔｅｍＭａｙｂｅＳｉｍｐｌｅＬｉａｏＧｏｎｇｆｕ（廖公夫）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＪｉｌｉｎＵｎｉｖｅｒｓｉｔｙ，Ｃｈａｎｇｃｈｕｎ，１３００２３）ＦａｎＱｉｎｊｉｅ（范钦杰）（Ｄｅｐａｒｔｍｅｎｔｏｆ...     

Invariant Kahler Metrics and Curvatures on a Class of Pseudoconvex Domains

（童武）（殷慰萍）ＩｎｖａｒｉａｎｔＫａｈｌｅｒＭｅｔｒｉｃｓａｎｄＣｕｒｖａｔｕｒｅｓｏｎａＣｌａｓｓｏｆＰｓｅｕｄｏｃｏｎｖｅｘＤｏｍａｉｎｓ￥ＴｏｎｇＷｕＹｉｎＷｅｉｐｉｎｇ（Ｄａｐｔ．ｏｆＭａｔｈ．，ＣａｐｉｔａｌＮｏｒｍａｌＵｎｉｖｅｒｓｉ...     

Hybrid Finite Element Method for Two-phase Miscible Displacement in Porous Media

ＨｙｂｒｉｄＦｉｎｉｔｅＥｌｅｍｅｎｔＭｅｔｈｏｄｆｏｒＴｗｏ┐ｐｈａｓｅＭｉｓｃｉｂｌｅＤｉｓｐｌａｃｅｍｅｎｔｉｎＰｏｒｏｕｓＭｅｄｉａ＊）ＬｉａｎｇＤｏｎｇ（梁栋）ＣｈｅｎｇＡｉｊｉｅ（程爱杰）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，...     

The Projection onto a Direct Product of Convex Cones

ＴｈｅＰｒｏｊｅｃｔｉｏｎｏｎｔｏａＤｉｒｅｃｔｒｏｄｕｃｔｏｆＣｏｎｖｅｘＣｏｎｅｓＬｉｕＷｅｉ（刘维）ａｎｄＳｈｉＮｉｎｇｚｈｏｎｇ（史宁中）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＮｏｒｔｈｅａｓｔＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｃ...     

Periodic Solutions for Nonlinear Diferential Equations

ＰｅｒｉｏｄｉｃＳｏｌｕｔｉｏｎｓｆｏｒＮｏｎｌｉｎｅａｒＤｉｆｅｒｅｎｔｉａｌＥｑｕａｔｉｏｎｓＣｏｎｇＦｕｚｈｏｎｇ（从福仲）（ＯｆｆｉｃｅｏｆＭａｔｈｅｍａｔｉｃｓ，８６００３Ｕｎｉｔ，Ｃｈａｎｇｃｈｕｎ，１３００２２）ＭａｏＤｏｎｇｍｉｎｇ（...     

D_1 Spaces and Their Metrization

Ｄ_１　Ｓｐａｃｅｓ　ａｎｄ　Ｔｈｅｉｒ　ＭｅｔｒｉｚａｔｉｏｎＤａｉＭｕｍｉｎ（戴牧民）；ＬｉｕＣｈｕａｎ（刘川）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＧｕａｎｇｘｉＵｎｉｖｅｒｓｉｔｙ，Ｎａｎｎｉｎｇ，５３０００４）Ａｂｓｔｒａｃｔ：?..     

A Characterization of a Class of Symmetric(0,1)Matrices

ＡＣｈａｒａｃｔｅｒｉｚａｔｉｏｎｏｆａＣｌａｓｓｏｆＳｙｍｍｅｔｒｉｃ（０，１）ＭａｔｒｉｃｅｓＬｉＷｅｎ（黎稳）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｏｕｔｈＣｈｉｎａＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｇｕａｎｚｈｏｎ，５１０６３１...     

Some Spectral Properties of Metapositive Definite Matrice

ＳｏｍｅＳｐｅｃｔｒａｌＰｒｏｐｅｒｔｉｅｓｏｆＭｅｔａｐｏｓｉｔｉｖｅＤｅｆｉｎｉｔｅＭａｔｒｉｃｅｓＬｉＺｈｕｘｉａｎｇ（李竹香）ＬｕＨｏｎｇｂｉｎ（吕洪斌）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＪｉｌｉｎＴｅａｃｈｅｒ＇ｓＣｏｌｅｇ...     

Some Properties of Artin-Rees Modules and Rings

The class of Artin-Rees modules is large.It contains modules satisfying (accr).In this paper, we investigate such modules and show that some properties of modules satisfying (accr) can be generalized to modules of this class.     

Representations of q-analogue of the Virasoro Algebra

Ｒｅｐｒｅｓｅｎｔａｔｉｏｎｓｏｆｑ┐ａｎａｌｏｇｕｅｏｆｔｈｅＶｉｒａｓｏｒｏＡｌｇｅｂｒａ＊）ＺｈａｏＫａｉｍｉｎｇ（赵开明）（ＤｅｐａｒｔｍｅｎｔｏｆＰｕｒｅＭａｔｈ．，ＵｎｉｖｅｒｓｉｔｙｏｆＷａｔｅｒｌｏｏ，Ｗａｔｅｒｌｏｏ，Ｏｎｔａｒｉｏ...     

Absolutely Pure Covers

Absolutely pure modules act in ways similar to injective modules. There are conditions on a ring which guarantee that the class of injective modules will be covering. In this article, we define conditions on the ring R which guarantee that the class of absolutely pure modules will be covering. These include R being left coherent, which we show implies a number of other necessary properties.     

相关Hopf模的对偶

本文的目的就是给出相关Hopf模的对偶性质.在第一部分,证明了相关Hopf模的对偶模仍是相关Hopf模.特别地,Hopf模的对偶仍是Hopf模.在第二、第三两部分,分别给出相关Hopf模的对偶相关Hopf模的基本结构定理及Maschke定理.     

On functors between categories of modules over trusses

Categorical aspects of the theory of modules over trusses are studied. Tensor product of modules over trusses is defined and its existence established. In particular, it is shown that bimodules over trusses form a monoidal category. Truss versions of the Eilenberg-Watts theorem and Morita equivalence are formulated. Projective and small-projective modules over trusses are defined and their properties studied.     

Infinite Rank Affine Lie Algebras

１．ＩｎｆｉｎｉｔｅＲａｎｋＡｆｉｎｅＬｉｅＡｌｇｅｂｒａｓｇ（Ｘ）ａｎｄｇ（Ｘ）ＷｅｒｅｃａｌｔｈｅｄｅｆｉｎｉｔｉｏｎｏｆｉｎｆｉｎｉｔｅｒａｎｋａｆｉｎｅＬｉｅａｌｇｅｂｒａｓａｎｄｔｈｅｉｒｆｕｎｄａｍｅｎｔａｌｓｔｒｕｃｔｕｒｅ．Ａｇｅｎｅ...     

A Version of the Weak Krull–Schmidt Theorem for Infinite Direct Sums of Uniserial Modules

We show a version of the weak Krull–Schmidt theorem concerning infinite families of uniserial modules.     

Representations of a Noncommutative Associative Algebra Related to Quantum Torus of Rank Three

In this paper, we present some modules over the rank-three quantized Weyl algebra, which are closely related to modules over some vertex algebras. The isomorphism classes among these modules are also determined.     

Length two extensions of modules for the Witt algebra

In this paper, we establish an explicit classification of length two extensions of tensor modules for the Witt algebra using the cohomology of the Witt algebra with coe?cients in the module of the space of homomorphisms between the two modules of interest. To do this we extended our module to a module that has a compatible action of the commutative algebra of Laurent polynomials in one variable. In this setting, we are be able to directly compute all possible 1-cocycles.     

Asymptotic Periodicity of Primes Associated to Multigraded Modules

In this paper, we investigate the asymptotic behavior of the set of primes associated to a graded ring extension of Noetherian multigraded rings and modules, and prove that the periodicity occurs in a cone. We also prove the same asymptotic behavior of the grade. The previous known results on this subject are recovered as a special case.