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regular ideal
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  正则理想
     3. If V N(M) is the maximal Von Neumann regular ideal of the Γ-ring M.then V N(M_(m:n))=(V N(M))_(m:n).
     3.如果Г-环M的最大Von Neumann正则理想记为VN(M),那么VN(M_(m:N))=(VN(M))_(m:n)。
短句来源
     The main results in this paper: (1)There exists the greatest(Neumann)regular ideal M_(R) in each weak Γ_N-ring R. M_(R) is characterized.
     本文主要结果如下:(1)每一个弱Γ_N-环 R 存在最大(Neumann)正则理想 M_(R),M_(R)被特征刻划了。
短句来源
     The Greatest(Neumann)Regular Ideal of a Weak Γ_N-ring
     弱 Γ_N—环的最大(Ncumann)正则理想
短句来源
     For BCI_algebra, the paper introduce L _fuzzy closed ideal and L _fuzzy regular ideal, obtain following result: any L _fuzzy regular ideal is a L _fuzzy closed ideal;
     对BCI_代数 ,引入了L_fuzzy闭理想、L_fuzzy正则理想 ,研究了两者之间的关系 . 得到的结论是 :任一L_fuzzy正则理想一定是L_fuzzy闭理想 ,在任一p_半单BCI_代数中 ,L_fuzzy闭理想一定是L_fuzzy正则理想 .
短句来源
     Regular ideal in BCI-algcbras
     BCI-代数的正则理想
短句来源
更多       
  “regular ideal”译为未确定词的双语例句
     A Few Types and Simple Natures of I-Right Regular Element and I-Right Regular Ideal
     I-右正规元、I-正规右理想的几种类型及简单性质
短句来源
     in p _semismple BCI_algebra, L _fuzzy closed ideal is L _fuzzy regular ideal, moveover, also introduce L _fuzzy implication ideal, obtain some equational propertys.
     对BCK_代数 ,引入了L_fuzzy关联理想的概念 ,得到了它的一些等价特性 ,并用L_fuzzy关联理想刻划了关联BCI_代数
短句来源
     In this paper, the maximal regular ideal of Matrix Algebra was formed. And using the relation of pure state and maximal regular ideal of*C- algebra, the pure state of Matrix Algebra was formed because the Matrix Algebra is a *C- algebra.
     应用C-代数的纯态与极大正则左理想的一一对应关系,从解决矩阵代数的极大正则左理想的构造出发,构造出了矩阵代数的纯态,从而解决了矩阵代数的态空间的构造。
短句来源
  相似匹配句对
     Regular ideal in BCI-algcbras
     BCI-代数的正则理想
短句来源
     On Ideal
     论理想
短句来源
     Regular Ideal of a PMS Algebra
     PMS-代数中的正则理想
短句来源
     ON THE BIORDER-IDEAL
     关于双序理想
短句来源
     Q-Regular Spaces
     q-正则空间
短句来源
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  regular ideal
The maximal regular ideal of self-injective and continuous rings splits off
      
On the maximal regular ideal of a linearly compact ring
      
Next we show that for Jordan Banach algebras the socle coincides with the maximal von Neumann regular ideal.
      
The Vavilov-Cherenkov radiation appearing in a circular regular ideal waveguide with a chiral medium is considered.
      
When all evanescent modes are excluded and data are measured on the regular ideal grid 18, the condition number is c = 1.
      


The main results in this paper: (1)There exists the greatest(Neumann)regular ideal M_(R) in each weak Γ_N-ring R.M_(R) is characterized. (2)M_(R) is a hereditary radical.M_(R)J_(R)=(0),where J_(R) is Jacobson′s radical of R. (3)A charactorization that a weak Γ_N-ring is a(Neumann)regular ring is given. The class of weak Γ_N-rings is more general than class of associative rings.The above results generalize the corresponding objects in the associative rings.

本文主要结果如下:(1)每一个弱Γ_N-环 R 存在最大(Neumann)正则理想 M_(R),M_(R)被特征刻划了。(2)M_(R)是遗传根。M_(R)∩J_(R)=(0),其中 J_(R)是 R 的 Jacobson 根。(3)给出了弱Γ_N-环是(Neumann)正则环的一个特征该划。弱Γ_N-环是比结合环更广泛的环类,上述结果推广了结合环中的相应结果。

In this paper, we discuss the Von Neumann regular properties of the matrixΓ_(n:m)-ring M_(m:n) over a Γ-ring M. The followiug main theoremes are proved. 1. If M is a Von Neumann regular Γ-ring then M_(m:n) is a Von Neumannregular Γ_(n:m)-ring and the ideals of M_(m:n) are of the form U_(m:n), where U isan ideal of M. 2. An ideal Q of M_(m:n) is Von Neumann regular if and only if there existsa Von Neumann regular ideal P of M with Q=P_(m:n). 3. If V N(M) is the maximal Von Neumann regular ideal of...

In this paper, we discuss the Von Neumann regular properties of the matrixΓ_(n:m)-ring M_(m:n) over a Γ-ring M. The followiug main theoremes are proved. 1. If M is a Von Neumann regular Γ-ring then M_(m:n) is a Von Neumannregular Γ_(n:m)-ring and the ideals of M_(m:n) are of the form U_(m:n), where U isan ideal of M. 2. An ideal Q of M_(m:n) is Von Neumann regular if and only if there existsa Von Neumann regular ideal P of M with Q=P_(m:n). 3. If V N(M) is the maximal Von Neumann regular ideal of the Γ-ring M.then V N(M_(m:n))=(V N(M))_(m:n).

本文讨论Г-环M上的矩阵Г_(n:m)-环M_(m:N)的Von Neumann正则性。主要证明如下定理:1.如果M是Von Neumann正则Г-环,那么M_(m:n)是Von Neumann正则Г_(n:m)-环且M_(m:n)的理想具有形式I_(m:n),其中I是M的理想。2.M_(m,n)的理想Q为Von Neumann正则的充要条件是M中存在Von Neumann正则理想P使Q=P_(m:n)。3.如果Г-环M的最大Von Neumann正则理想记为VN(M),那么VN(M_(m:N))=(VN(M))_(m:n)。

In this paper we discuss the von Neumann regular properties of the full matrix Γ-ring R. over a Γ-ring R, The follwing results are proved.1 If I is a ideal of the Γ-ring R then M(I_■)=(M(I))_■.2 Let R be a Γ-ring, then the full matrix Γ-ring R. is von Neumann regular if and only if R is von Neumann regular.3 Let R be a Γ-ring, H a set of the ideals of R, K a set of the ideals of R_■Then the mappiny φ: I→I_■ is a order-preserving monomorphism of H into K and the von Neumann...

In this paper we discuss the von Neumann regular properties of the full matrix Γ-ring R. over a Γ-ring R, The follwing results are proved.1 If I is a ideal of the Γ-ring R then M(I_■)=(M(I))_■.2 Let R be a Γ-ring, then the full matrix Γ-ring R. is von Neumann regular if and only if R is von Neumann regular.3 Let R be a Γ-ring, H a set of the ideals of R, K a set of the ideals of R_■Then the mappiny φ: I→I_■ is a order-preserving monomorphism of H into K and the von Neumann regular ideals of R_■ are the sets corresponding to the von Neumann regular ideals of R.

摘要本文讨论Γ-环R上的全矩阵Γ-环R.的von Neumann正则性。主要证明以下结果: 1 设R是Γ-环,I是R的理想,那么M(I_n)=(M(I))_n 2 设R是Γ-环,全矩阵Γ-环R_n为von Neumann正则的充要条件是R为von Nenmann正则的。 3 设R是Γ-环,R的理想的集合记为H,R_n的理想的集合记为K,则ψ:I→I_n是H到K的保序单射,且R的von Neumann正则理想与R_n的vonNeumann正则理想是一一对应的。

 
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