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We prove that every rigid C*-bicategory with finite -dimensional centers (finitely decomposable horizontal units) can be realized as Connes' bimodules over finite direct sums of II_1 factors. In parti...
The first extended greatest common right divisor (GCRD) algorithm for parametric univariate polynomial matrices is presented. The starting point of this GCRD algorithm is the free property of submodul...
同余数问题是一个有着一千多年历史的数论问题,米尔诺群(K2群)是由著名数学家米尔诺于1970年代定义的新的代数结构,是代数K-理论中的研究课题。最近秦厚荣教授在国际上首次发现同余数和米尔诺群之间有着深刻的联系,并利用二次型在二者之间搭建了一个桥梁,展示了一个崭新的研究领域,并取得了重要的成果,相关论文于顶级数学刊物《Mathematische Annalen》在线发表。
Based on the hierarchical ordering principle of factorial effects in experimental design, we propose an aliased effect-number pattern (AENP) as a criterion to judge a two-level regular design; such ...
We introduce sequential testing procedures for the planning and analysis of reliability studies to assess an exposure’s measurement error. The designs allow repeated evaluation of reliability of the...
Joint analysis of longitudinal measurements and survival data has received much attention in recent years. However, previous work has primarily focused on a single failure type for the event time. In...
At CRYPTO 2008 Stam [8] conjectured that if an (m+s)- bit to s-bit compression function F makes r calls to a primitive f of n-bit input, then a collision for F can be obtained (with high probability) ...
We study possible formulations of algebraic propositional proof systems operating with noncommutative formulas. We observe that a simple formulation gives rise to systems at least as strong as Frege, ...
1-D scalar conservation laws with convex flux and Markov initial data are now known to yield a completely integrable Hamiltonian system. In this article, we rederive the analogue of Loitsiansky’s in...
We concern with a special class of binary cellular automata, i.e., the so-called particle cellular automata (PCA) in the present paper. We first propose max-plus expressions to PCA of 4 neighbors.
Suppose $d\geq 2$ and $\alpha \in (1, 2)$. Let $D$ be a bounded $C^{1,1}$ open set in $R^d$ and $b$ an $R^d$-valued function on $R^d$ whose components are in a certain Kato class of the rotationally ...
We study the dependence of graded Betti numbers of monomial ideals on the characteristic of the base field. The examples we describe include bipartite ideals, Stanley–Reisner ideals of vertex-decompo...
In our paper arXiv: math.RA/0110333 v1 Oct 2001 we showed that the number of algebras defined by a binary operation satisfying a formally irreducible identity between two n-iterates is O e−n/16...
特殊n-Coherent函子的性质     可表示  n-Coherent函子  余核         2009/11/20
定义了n-Coherent函子, 并研究了特殊的n-Coherent函子间的余核和核,并给出了一些性质。
根据代数数论的理论,将初等数论中的一些结论推广到更大的代数整数环中,应用这些结论确定了几个著名的不定方程在虚二次域的整数环中的解,指出了费尔玛方程在比整数环更大的环中也没有非平凡解.

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