遗传C~*-子代数与可补闭子模的关系定理

设 E是 Hilbert C~*-模,证明了E的每个闭子模均可补的充要条件是 K(E)的每个非零遗传C~*-子代数B,均有形式B=pK(E)p,其中p为L(E)中投影元。     

Projective ideals of skew polynomial rings over HNP rings

Let R be an hereditary Noetherian prime ring (or, HNP-ring, for short), and let S?=?R[x;σ] be a skew polynomial ring over R with σ being an automorphism on R. The aim of the paper is to describe completely the structure of right projective ideals of R[x;σ] where R is an HNP-ring and to obtain that any right projective ideal of S is of the form X𝔟[x;σ], where X is an invertible ideal of S and 𝔟 is a σ-invariant eventually idempotent ideal of R.     

An integrable nonlinear diffusion hierarchy with a two-dimensional arbitrary function

By introducing the hereditary condition to a general first order differential strong symmetry operator, we obtain general 1+1 and 2+1 dimensional integrable nonlinear diffusion hierarchies with infinitely many symmetries and Lax pairs. For a special example the infinitely many nonlocal conservation laws and some explicit and implicit exact solutions are also given.     

High-throughput single-strand conformation polymorphism analysis on a microfabricated capillary array electrophoresis device

A high-density 384-lane microfabricated capillary array electrophoresis device is evaluated for high-throughput single-strand conformation polymorphism (SSCP) analysis. A delayed back bias direct electrokinetic injection scheme is used to provide better than 10-bp resolution with an 8.0-cm effective separation length. Separation of a HaeIII digest of PhiX174 yielded theoretical plate numbers of 4.0 x 10(6). Using 5% PDMA containing 10% glycerol and 15% urea, 21 single-nucleotide polymorphisms (SNPs) from HFE, MYL2, MYL3, and MYH7 genes associated with hereditary hemochromatosis (HHC) and hereditary hypertrophic cardiomyopathy (HCM) are discriminated at two running temperatures (25 degrees C and 40 degrees C), providing 100% sensitivity. The data in this study demonstrate that the 384-lane microCAE device provides the resolution and detection sensitivity required for SSCP analysis, showing its potential for ultrahigh-throughput mutation detection.     

Quantization dimension of probability measures supported on Cantor-like sets

Let μ be an arbitrary probability measure supported on a Cantor-like set E with bounded distortion. We establish a relationship between the quantization dimension of μ and its mass distribution on cylinder sets under a hereditary condition. As an application, we determine the quantization dimensions of probability measures supported on E which have explicit mass distributions on cylinder sets provided that the hereditary condition is satisfied.     

On Right Hereditary Rings and Dedekind Domains

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Characterization of optimal pairs for hereditary control problems

In this paper, we characterize optimal pairs for a hereditary control process. We use relaxed controls, and the technique is penalization.This research was supported by NSF Grant R11-89-05084.     

Free C-Algebras and the Problem of Uniquenes of Extension in Non-commutative Hahn-Banach Theorem

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具有遗传效应单种群模型的正周期解

利用重合度理论中的延拓定理和Ｌｙａｐｕｎｏｖ泛函方法,讨论了具有遗传效应单种群模型正周期解的存在性和全局吸引性,得到了一些新结果,推广了某些相关结果。