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Some Conditions for K_0(B(X))=0
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作者 钟怀杰 苏维纲 张云南 《Northeastern Mathematical Journal》 CSCD 2005年第4期379-382,共4页
Let ,4 be an unital Banach algebra with the unital element I. We denote the set of (n × n)-matrices over ,4 by Mn(.A). The set of idempotent elements of ,4 is denoted by
关键词 Banach space OPERATOR Banach algebra ko-group
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拉回的K_0-群和行列式映射(英文)
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作者 王肇西 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第3期315-320,共6页
设S为交换环,行列式映射det0:Rk0(S)→Pic(S)定义为[P]-[Sm]|→〈∧mP〉是加法群Rk0(S)到乘法群Pic(S)的同态.主要给出了行列式映射与拉回的K0-群之间的一些关系.
关键词 拉回 K0群 行列式映射 交换环 同态
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环的连通性与半自反模
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作者 周立仁 《云梦学刊》 1996年第4期24-27,共4页
本文利用连通性和半自反模刻划了环,得到了域,遗传环,priffer整环,Dedekind整环,VN正则环等常见环的连通特征及其相互之间的等价关系。
关键词 k0 连通环 半自反模
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K-THEORETICALLY COMPLETE VON NEUMANN REGULAR RINGS
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作者 卢丹诚 佟文廷 《Acta Mathematica Scientia》 SCIE CSCD 2004年第4期655-662,共8页
The authors introduce the concept of Ko-complete ring and study the properties of Ko-complete unit-regular rings.
关键词 Ko-complete rank function partially ordered Abelian group regular rings exchange rings
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The Torsion-Freeness of Partially Ordered K0-Groups for a Class of Exchange Rings 被引量:3
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作者 WU Kuo Hua LV Xin Min 《Journal of Mathematical Research and Exposition》 CSCD 2009年第2期367-370,共4页
A ring R is called orthogonal if for any two idempotents e and f in R, the condition that e and f are orthogonal in R implies the condition that [eR] and [fR] are orthogonal in K0(R)+, i.e., [eR]∧[fR] = 0. In this pa... A ring R is called orthogonal if for any two idempotents e and f in R, the condition that e and f are orthogonal in R implies the condition that [eR] and [fR] are orthogonal in K0(R)+, i.e., [eR]∧[fR] = 0. In this paper, we shall prove that the K0-group of every orthogonal, IBN2 exchange ring is always torsion-free, which generalizes the main result in [3]. 展开更多
关键词 IBN2 ring Orthogonal ring ko-group Partially ordered Abelian group l-group.
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Goodearl-Handelman问题的一个注记
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作者 吕新民 吴阔华 《数学学报(中文版)》 SCIE CSCD 北大核心 2009年第3期451-456,共6页
这篇注记将证明:对于一个稳定度为1的替换环R,R的K_0-群K_0(R)上的自然予序是一个格序,即K_0(R)是一个e-群当且仅当对于R的任意幂等元e_1,e_2,存在R的幂等元f,g,h,满足e_1R≌fR⊕gR,e_2R≌fR⊕hR,且gR和hR没有同构非零的直和项.依据有... 这篇注记将证明:对于一个稳定度为1的替换环R,R的K_0-群K_0(R)上的自然予序是一个格序,即K_0(R)是一个e-群当且仅当对于R的任意幂等元e_1,e_2,存在R的幂等元f,g,h,满足e_1R≌fR⊕gR,e_2R≌fR⊕hR,且gR和hR没有同构非零的直和项.依据有序代数的知识,这一条件等价于K_0(R)是无扭的,且是无孔的(unperforated). 展开更多
关键词 替换环 稳定度1 K0-群
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On K_(0)-groups of operator algebras on Banach spaces 被引量:4
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作者 ZHANG Yunnan ZHONG Huaijie SU Weigang 《Science China Mathematics》 SCIE 2006年第2期233-244,共12页
This paper merges some classifications of G-M-type Banach spaces simplifically, discusses the condition of K0(B(X)) = 0 for operator algebra B(X) on a Banach space X, and obtains a result to improve Laustsen's suf... This paper merges some classifications of G-M-type Banach spaces simplifically, discusses the condition of K0(B(X)) = 0 for operator algebra B(X) on a Banach space X, and obtains a result to improve Laustsen's sufficient condition, gives an example to show that X ≈ X2 is not a sufficient condition of K0(B(X)) = 0. 展开更多
关键词 Banach space OPERATOR Banach algebra K0-group.
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Erdoes-Ko-Rado theorem for irreducible imprimitive reflection groups
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作者 Li WANG 《Frontiers of Mathematics in China》 SCIE CSCD 2012年第1期125-144,共20页
Let Ω be a finite set, and let G be a permutation group on Ω. A subset H of G is called intersecting if for any a, 7r H, they agree on at least one point. We show that a maximal intersecting subset of an irreducible... Let Ω be a finite set, and let G be a permutation group on Ω. A subset H of G is called intersecting if for any a, 7r H, they agree on at least one point. We show that a maximal intersecting subset of an irreducible imprimitive reflection group G(m,p,n) is a coset of the stabilizer of a point in {1,... ,n} provided n is sufficiently large. 展开更多
关键词 Erdoes-Ko-Rado theorem representation theory imprimitivereflection groups
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