理想收敛理论的非标准刻画

为了用非标准分析方法进一步研究拓扑空间，在扩大模型下，对理想收敛的基本理论进行了非标准刻画：设X是拓扑空间，I是X中的理想，I收敛于点x，当且仅当v(x)包含v(I)．给出了理想的极限点和聚点的非标准特征，利用极限点对闭包进行了非标准描述，并讨论了理想收敛与伴随网收敛的相互关系．     

An ideal topology type convergent theorem on scale effect algebras

The famous Antosik-Mikusinski convergent theorem on the Abel topological groups has very extensive applications in measure theory, summation theory and other analysis fields. In this paper, we establish the theorem on a class of effect algebras equipped with the ideal topology. This paper shows also that the ideal topology of effect algebras is a useful topology in studying the quantum logic the- ory.     

Congruences and ideals in pseudoeffect algebras

This paper is devoted to congruences and ideals in pseudoeffect algebras. Let I be a normal ideal in a pseudoeffect algebra E. We show that: (1) the relation ~ _I induced by I is a congruence if and only if for every a∈E, I∩ [0,a] is upper directed; (2) the relation ~ _I induced by I is a strong congruence if and only if I is a normal weak Riesz ideal in a pseudoeffect algebra E. Moreover, we introduce a stronger concept of congruence—namely Riesz strong congruence—and we prove that, if I is a normal weak Riesz ideal in a pseudoeffect algebra E, then ~ _I is a Riesz strong congruence and, conversely, if ~ is a Riesz strong congruence, then I = [0]_~ is a normal weak Riesz ideal, and ~ _I = ~. This work was supported by the National Natural Science Foundation of China (Grant No. 10271069).     

论主体性视域下的大学生党员理想信念教育

大学生党员是高校学生群体中的优秀分子,党和国家高度重视学生党员的理想信念教育。应从主体性视域出发,对学生党员理想信念教育现状进行研究,明确发挥学生党员主体性的重要意义,提出在主体性视域下加强学生党员理想信念教育的多途径整合。     

直觉模糊代数理想和直觉模糊商代数

引入了直觉模糊代数理想和直觉模糊商代数的概念 ,讨论了它们的一些性质 ,给出了直觉模糊代数理想的刻画     

勒·柯布西耶Vers une Architecture译名考

以勒·柯布西耶的名著Veune Architecture在国内外不同版本的比较为线索,通过对该书文本的再阅读,讨论了勒·柯布西耶这部具有现代建筑划时代意义的理论著作的思想内涵,同时对我国建筑学界基于1927年英文译本而形成的译名《走向新建筑》的得失进行分析,阐述了对这部已在中文建筑学语境中具有广泛影响的著作的书名进行重新翻译的必要性和可能性.     

A Criterion for Annihilating Ideals of Linear Recurring Sequences over Galois Rings

Let R be a local Artin principal ideal ring, R[x] the polynomial ring over R with indeterminate x. Let π be an element of R such that <π> is the unique maximal ideal of R. Let I be a zero-dimensional ideal of R[x], and the radical ideal of I. In this paper we show that I is the annihilating ideal of a linear recurring sequence over R if and only if I satisfies the following formula

A Bound for the Order of Characteristic Set Elements of an Ordinary Prime Differential Ideal and some Applications

With respect to an elimination ordering, we give an upper bound for the order of characteristic set elements of an ordinary prime differential ideal. Using some results of complexity in the algebraic case, we show that computing characteristic sets of ordinary prime differential ideals, by change of ordering, is single exponential time. Received: January 8, 1997; revised version: May 6, 1999     

Review of The Metaphysical Club: A story of ideas in America.

Reviews the book, The Metaphysical Club: A story of ideas in America by Louis Menand (2001). In this highly entertaining and readable history, Menand examines the lives and thinking of Oliver Wendell Holmes, Jr., William James, Charles Sanders Peirce, and John Dewey, members of an informal (and short-lived) discussion group that met in Cambridge, Massachusetts in 1872 that called itself the Metaphysical Club. Beginning with the Civil War and ending in 1919 with the Supreme Court decision in U.S. v. Abrams, this insightful and thought-provoking book tells a story of the creation of the ideas and values that have shaped how Americans think and how we live. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Generalized lower and upper approximations in a ring

In this paper, the concepts of set-valued homomorphism and strong set-valued homomorphism of a ring are introduced, and related properties are investigated. The notions of generalized lower and upper approximation operators, constructed by means of a set-valued mapping, which is a generalization of the notion of lower and upper approximation of a ring, are provided. We also propose the notion of generalized lower and upper approximations with respect to an ideal of a ring which is an extended notation of rough ideal introduced lately by Davvaz [B. Davvaz, Roughness in rings, Information Science 164 (2004) 147-163] in a ring and discuss some significant properties of them.