【摘 要】
:
Firstly,the commutativity of rings is investigated in this paper.Let R be a ring with identity.Then we obtain the following commutativity conditions: (1) if for
【机 构】
:
School of Mathematics and Statistics, Huanghuai University Zhumadian, Henan 463000, China;School of
论文部分内容阅读
Firstly,the commutativity of rings is investigated in this paper.Let R be a ring with identity.Then we obtain the following commutativity conditions: (1) if for each x ∈ RN(R) and each y ∈ R,(xy)k =xkyk for k =m,m + 1,n,n + 1,where m and n are relatively prime positive integers,then R is commutative;(2) if for each x ∈ RJ(R) and each y ∈ R,(xy)k =ykxk for k =m,m+ 1,m+2,where m is a positive integer,then R is commutative.Secondly,generalized 2-CN rings,a kind of ring being commutative to some extent,are investigated.Some relations between generalized 2-CN rings and other kinds of rings,such as reduced rings,regular rings,2-good rings,and weakly Abel rings,are presented.
其他文献
目的:探究弥漫型恶性腹膜间皮瘤的多排螺旋CT(MSCT)征象分析及诊断价值。方法:随机投掷法选取我院2019年5月—2020年6月间收治的弥漫型恶性腹膜间皮瘤患者21例为观察组,另选取同期收治的结核性腹膜炎患者21例为对照组,两组均展开MSCT征象分析及诊断价值,最后使用统计学的方式进行数据的统计和归纳。结果:两组腹膜、大网膜、肠系膜的形态学改变上差异无统计学意义(P>0.05);两组腹水密度、壁层腹膜、淋巴结、病灶边缘征象比较,差异有统计学意义(P<0.05),结果有差异。结论:MSCT诊断
We study the variety of binary Lie algebras defined by the identities x2 =J(x,y,zu) =0,where J(a,b,c) denotes the Jacobian of a,b,c.Building on previous work by
We prove that generalized free products of certain abelian subgroup separable groups are abelian subgroup separable.Applying this,we show that tree products of
A Noetherian (Artinian) Lie algebra satisfies the maximal (minimal) condition for ideals.Generalisations include quasi-Noetherian and quasi-Artinian Lie algebra
语言是人类进行信息传递的重要手段,良好的语言表达能力能够帮助人更好的表达自己的想法和观点,对人更好的参与到社交活动具有至关重要的作用.幼儿正处于语言表达能力培养的
南山国家公园位于湖南省城步县,地处越城岭北坡、雪峰山脉最南端区域,是我国植物区系的华中、华南、华东、西南四大区系的交叉“十字路口”.各类植物区系成分在此交汇融合,植
目的:分析探讨颈动脉超声和血清C反应蛋白(C-reaction protein,CRP)在缺血性脑卒中诊疗中的应用价值。方法:选取我院2016年10月—2019年4月患者100例,其中确诊为缺血性脑卒中患者为卒中组(n=50),无脑血管疾病的健康者为对照组(n=50),比较两组颈动脉超声检查各项参数及实验室CRP等指标。结果:卒中组的颈动脉内中膜厚度(IMT)、斑块,狭窄率以及CRP均高于无梗死对照组,有统计学差异。结论:颈动脉超声联合CRP检查可成为目前缺血性脑卒中疾病提高临床诊疗效率的有效手段。
It is proved that for matrices A,B in the n by n upper triangular matrix ring Tn(R) over a domain R,if AB is nonzero and central in Tn(R) then AB =BA.The n by n
This article is a contribution to the study of the automorphism groups of 3-(v,k,3) designs.Let S =(P,B) be a non-trivial 3-(q+ 1,k,3) design.If a two-dimension
目的:分析脑膜瘤实质区及瘤周水肿区的血供特点,评价DSC-MR灌注成像对良恶性脑膜瘤的鉴别诊断价值。方法:选择2017年1月—2021年1月我院经病理证实的脑膜瘤患者64例(良性32例,恶性32例),术前进行DSC-MR灌注成像分析。测量肿瘤实质区及瘤周水肿区的最大相对脑血容量和相对平均通过时间,并对结果进行统计学分析。结果:良恶性脑膜瘤实质部分相对脑血容量值与相对平均通过时间值差异无显著性(P>0.05)。恶性脑膜瘤瘤周水肿最大相对脑血容量和相对平均通过时间均高于良性脑膜瘤(P<0.05)。