共查询到20条相似文献,搜索用时 78 毫秒
1.
陈贻源[1]和张文修[2]分别引入了Fuzzy弱自反关系的定义和有关的证明。本文在[1]和[2]给出Fuzzy弱自反关系定义的基础上,对[1]和[2]的有关Fuzzy弱自反关系证明提出了异议,并给出了新的证明。 相似文献
2.
Drazin逆的一个性质特征 总被引:3,自引:0,他引:3
对任意的n阶方阵A ∈Cn×n,本文给出它的Drazin逆的一个重要性质(见定理1),并给出A的D-逆的一个求解算法,从而推广了[2]中的结论. 相似文献
3.
4.
5.
乔占科 《纯粹数学与应用数学》1995,(1)
本文分别给出П正则半群的幂等元同余类和Пorthodox半群[1]的幂等元同余类的П正则性刻画.其次,证明П逆半群或完全П正则半群S的幂等元同余类是S的П正则子半群.最后讨论orthodox半群的幂等元同合类的正则性. 相似文献
6.
陈露 《纯粹数学与应用数学》2009,25(1):102-106
在半群上引入i-v Fuzzy理想的概念.研究了半群的i-v Fuzzy理想的若干性质,特别是给出了半群的i-v Fuzzy子集成为理想的若干特征性质. 相似文献
7.
文[1]提出了格的Fuzzy理想、Fuzy同余关系等概念并对其性质进行了探讨本文在此基础上提出了格的Fuzzy同余理想的概念并分别讨论了格、Fuzzy商格及格直积的Fuzzy同余理想,得到了一些初步结果 相似文献
8.
关于W-Fuzzy格与W-理想 总被引:3,自引:1,他引:2
本文讨论了Fuzy格的W理想的一些基本性质。主要结果有:(1)对于一般的Fuzy格,给出了一个同余理想为W理想的若干充分条件和充要条件,所得结果是文[3]中相应结果在一般Fuzy格中的推广,从而完整地回答了文[3]中提出的一个问题;(2)对于Fuzy格下的同余素理想P,我们得到:P为F的W理想F/θ(P)为WFuzy格;此时,F的的任一包含P的同余理想均为W理想。 相似文献
9.
10.
设含幺交换环R对其乘法子集T的分式环为RT,交换幺半群S在其子半群∑处局部化为S∑本文证明了R[S]对于A的分环式环R[S]AM 构于半群环RT[S∑]。 相似文献
11.
Let (A) be a complex Banach algebra and J be the Jacobson radical of(A).(1) We firstly show that a is generalized Drazin invertible in (A) if and only if a+J is generalized Drazin invertible in (A)/J.Then we prove that a is pseudo Drazin invertible in (A) if and only if a + J is Drazin invertible in (A)/J.As its application,the pseudo Drazin invertibility of elements in a Banach algebra is explored.(2) The pseudo Drazin order is introduced in (A).We give the necessary and sufficient conditions under which elements in (A) have pseudo Drazin order,then we prove that the pseudo Drazin order is a pre-order. 相似文献
12.
Jin Bai Kim 《数学研究及应用》1985,5(3):11-13
We give a characterization of a regular Boolean matrix and prove that AB = I Implies that BA = I, where A and B are Boolean matrices whose elements belong to a Boolean algebra of a set with more than two elements. 相似文献
13.
Linus Schrage 《Mathematical Programming》1978,14(1):11-20
In certain linear programs, especially those derived from integer programs, large numbers of constraints may have very simple form. Examples are:x
ij
1 (simple upper bounds [SUB]),
i
x
ij
= 1 (generalized upper bounds [GUB]) andx
ij
y
i
(variable upper bounds [VUB]). A class of constraints called generalized VUB [GVUB] is introduced which includes GUB and VUB as special cases. Also introduced is a method for representing GVUB constraints implicitly within the mechanics of the simplex method.Research supported in part by the Mobil Oil Corporation. 相似文献
14.
李为民 《数学物理学报(B辑英文版)》1997,(4)
1IntroductionConsiderableattelltionhasbeendevotedtotilesemigroupoftheelldomorphislllsofagraph,inparticular,thesemigroupofthestrongendomorpllisnasofagraph,seesurvey[1].Themainpurposeoftheseresearchesliesintheapplicatiollsofthealgebraictheoryofsendgroupstothetheoryofgraphs.ItiswellknowllthatoneofthemostimportantconceptsillselltigrouptheoryisGreen'srelations.In[2],thecharacterizatiollofGreen'srelationsonsEnd(G),themolloidofthestrongendomorphisnisofagrapllG.isgiven.LetSbeasemigroup.Thenotation… 相似文献
15.
高璟 《数学的实践与认识》2007,37(7):125-128
利用矩阵A的带W权Drazin逆的一个性质特征,对任意的矩阵A∈Cm×n,W∈Cn×m,建立了带W权的Drazin逆Ad,w的一种新的表示式,给出了具体的算法步骤,并且在文末给出了算例. 相似文献
16.
17.
By using the piecewise method, Lagrange interpolation formula and Lucas' theorem, we determine explicit expressions of the inverses of a class of reversed Dickson permutation polynomials and some classes of generalized cyclotomic mapping permutation polynomials over finite fields of characteristic three. 相似文献
18.
It is known that the existence of the group inverse a
# of a ring element a is equivalent to the invertibility of a
2
a
− + 1 − aa
−, independently of the choice of the von Neumann inverse a
− of a. In this paper, we relate the Drazin index of a to the Drazin index of a
2
a
− + 1 − aa
−. We give an alternative characterization when considering matrices over an algebraically closed field. We close with some
questions and remarks.
相似文献
19.
This paper is to present some results on the Drazin invertibility of products and differences of idempotents. In addition, some formulae for the Drazin inverse of sums, differences and products of idempotents are also established. 相似文献
20.
Guifen Zhuang Dragana S. Cvetković-Ilić Yimin Wei 《Linear and Multilinear Algebra》2013,61(8):903-910
In this article, we investigate additive properties on the Drazin inverse of elements in rings. Under the commutative condition of ab?=?ba, we show that a?+?b is Drazin invertible if and only if 1?+?a D b is Drazin invertible. Not only the explicit representations of the Drazin inverse (a?+?b) D in terms of a, a D , b and b D , but also (1?+?a D b) D is given. Further, the same property is inherited by the generalized Drazin invertibility in a Banach algebra and is extended to bounded linear operators. 相似文献