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关于GP-V-环与强正则环的刻划 总被引:2,自引:0,他引:2
The purpose of this paper is to characterize strongly regular rings via MERT rings and weakly one-sided ideals. Many important equivalent conditions on strongly regular rings are shown. 相似文献
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A ring R is called a left (right) SF-ring if all simple left (right) R-modules are flat. It is known that von Neumann regular rings are left and right SF-rings. In this paper, we study the regularity of right SF-rings and prove that if R is a right SF-ring whose all maximal (essential) right ideals are GW-ideals, then R is regular. 相似文献
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关于半交换环与强正则环 总被引:1,自引:0,他引:1
本文得到了环R是强正则环的若干充分必要条件,证明了下面条件是等价的:(1)R是强正则的;(2)R是半交换正则的;(3)R是半交换的左SF-环;(4)R是半交换的ELT环,且使得每个单左R-模是P-内射的或者平坦的;(5)R是半交换右非奇异的左SF-环;(6)R是半素的半交换左(或右)P-内射环. 相似文献
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提出了强拟Armendariz环的概念,给出了强Armendariz环和强拟Armendariz环上的一些结果. 相似文献
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刘名生 《纯粹数学与应用数学》1997,13(2):59-63
引入了强星像函数类的一个子类S(α,β,ρ,σ,A,B),讨论了它的从属关系、包含关系、星像阶数和强星像阶数以及积分表示定理等,所得结果推广了一些作者的相关工作。 相似文献
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多维随机过程首中时的强正相依性 总被引:1,自引:1,他引:0
研究多维随机过程X^-(t)的首中时的SPD相依结构,拓展了Ebrahimi等关于POD(Positively Orthant Dependent)和作者关于SPOD(Strongly Positively Orthant Dependent)的某些结果。刻划SPD的另一特征,还给出最大无穷可分过程首中时之间的SPD性质及其首中时向量(r1(U1),r2(U2))联合分布的下界(其中Ui是增Borel集,i=1,2)。 相似文献
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引入ICE-内射它是拟内射的推广,利用它来研究von Neumann正则环、遗传环、Artin半单环。 相似文献
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Banach空间有界线性算子强连续双半群 总被引:3,自引:0,他引:3
许跟起 《纯粹数学与应用数学》1995,11(1):78-85
本文在Banach空间上研究单参数有界线性算子族-强连续双半群。 相似文献
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《Quaestiones Mathematicae》2013,36(3):225-240
Strongly prime rings were introduced by Handelman and Lawrence [6], and in a recent paper [5] Groenewald and Heyman investigated the upper radical determined by the class of all strongly prime rings. In this paper we continue this investigation. Section 1 provides some alternative characterizations of the radical and in section 2 we discuss general properties of the radical and compare it with other well-known radicals. Finally, combinatorial results on polynomial identities are presented which, combined with our results in section 2. yield some new comnutativity theorems. All rings considered are associative, but do not necessarily have an identity. As usual, I Δ A means that I is an ideal of the ring A. The notation <x1,x2,…> and (xl,x2,…) will stand for the subring and ideal, respectively, generated by the elements x1,x2,…. The rignt annihirator of a subset S of a ring A will be denoted by annA(S). This work was supported in part by NSERC grants A-8775 and A-8789. and was completed while the first and third authors were visiting Dalhousie University. These authors would like to thank the Department of Mathematics, Statistics and Computing Science at Oalhousie University for its generous hospitality. 相似文献
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Wang Shushi 《数学年刊B辑(英文版)》1986,7(2):243-250
This paper shows that if T∈C(X)is strongly S-decomposable,where S is a closedsubset of σ_(T)and S≠C_∞,then for any(e)spectral maximal subspace Y of T,T~Y is aclosed strongly S∩σ_(T~Y)-decomposable operator. 相似文献
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本文研究积分双半群与有界线性算子双半群的关系,证明了Banach空间X上的指数有界积分双半群可以作为X的某个子空间上具有较强范数拓扑下的有界线性算了强连续双半 积分双半群也可作为较大空间上俱有较弱范数拓扑下的有界线性算子强连续双半群积分的限制,上述结果可以用来解释抽象边值问题的弱解的意义。 相似文献
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考虑3维的Navier-Stokes方程.当2/s+3/q=2-α,q>1,1<α+3/q<2且解的涡度ω=curlu满足∫T0(∫R3(|x-x0|αω)qdx)s/q dt<∞时,则∫T0∫R3|x-x01-1/2|▽ω|2dxdt<∞,特别地,解是正则的.若在T*处有∫T*0(∫R3(|x-x0|αω)qdx)s/q dt=∞,则解在此处爆破.这是Navier-Stokes方程正则性判别准则在加权情形的一个新结果. 相似文献