1) δ-Jacobson root
σ-Jacobson根
2) Jac(R)
Jacobson-根
1.
This paper discusses the Nil(R)and Jac(R) of hypercentral extension,which is applied to Azumaya algebra.
通过对超中心扩张的Nil-根与Jacobson-根的性质的探讨,将其结果运用到Azumaya代数上。
3) Jacobson radical
Jacobson根
1.
This paper proved Vukman s conjecture concerning the image of a linear derivation on a Banach algebra,gave some sufficient conditions that the image of a linear derivation on complex Banach algebra was in the Jacobson radical,and also discussed the simple form of a linear derivation on an annihilator Banach algebra.
Vukman关于非交换Banach代数上线性导子像的猜测;给出了复Banach代数上线性导子映代数入其Jacobson根的几个充分条件和线性导子具有最简形式的充要条件。
2.
Let B be a nuclear C~-algebra with diagonal D in the sense of Kumjian, A a triangular subalgebra of B with diagonal D, then the Jacobson radical of A equals to the topological prime radical of A.
设B是含Kumjian意义的对角D的NuclearC 代数 ,A是B中的三角子代数则A的Jacobson根等于A的拓扑素
3.
In this paper, we discuss the properties of digraphs for primitive path algebra and (right) Goldie path \{algebra\}; and prove that Brown\|McCoy radical of the generalized path algebra does not coincide with the Jacobson radical in general.
讨论了有向图的几何性质和其路代数的代数性质之间的关系 ,解决了路代数中若干遗留问题 ,给出本原路代数、(右 ) Goldie路代数的有向图特征 ,证明了广义路代数的 Brown-Mc Coy根与它的 Jacobson根是不重合的 。
4) graded Jacobson radical
分次Jacobson根
1.
The graded Jacobson radical of graded algebra;
分次代数的分次Jacobson根
2.
Making use of the classical methods in ring theory, we obtain the relations with regard to graded Jacobson radical and graded prime radical between a group graded ring and its finite normalized graded extension ring.
利用经典环论方法,得到一个群分次环与其有限正规分次扩张环之间关于分次Jacobson根和分次素根的关系,同时,给出了分次情形的Cutting down定理和Lying over定理。
3.
We show that r_G(B)=[W,r_G(A)V]=[Wr_G(A),V],r_G(A)=(V,r_G(B)W)=(Vr_G(B),W), where r_G is one of the following graded radicals:the graded prime radical;the graded Jacobson radical;the graded Koethe radical;the graded Levitzki radical;the graded strongly prime radical;the graded uniformly strongly prime radical.
本文证明τG(B)：[W,ΥG(A)V]=【WΥc(A),V],ΥG(A)=(V,ΥG(B)W)=(VΥG(B),W)其中ΥG代表P_G(分次素根),J_G(分次Jacobson根),K_G(分次Koethe根),L_G(分次Levitzki根)和s_G(分次强素根),us_G(分次一致强素根)。
5) Jacobon-original roots
Jacobson型源根
6) Jacobson type radical
Jacobson型根
1.
Jacobson type radicals of zero regular NCD ring;
零正规NCD－环的Jacobson型根
补充资料：二根──利钝二根
【二根──利钝二根】
﹝出析玄记﹞
析玄云：见道行人，根有二种。谓须阤洹初果之人，破惑见理，名为见道。（梵语须阤洹，华言入流，谓预入圣人之流也。）
［一、钝根名随信行］，婆沙论云：由彼依信随信起行，谓此一类行人，从来性多钝故，自不披阅教文，但信他人言说而得悟道，故名随信行。
［二、利根名随法行］，婆沙论云：由彼依法随法起行，谓此一类行人，从来性多利故，不信他言，但自披阅教典，而得悟道，故名随法行。
﹝出析玄记﹞
析玄云：见道行人，根有二种。谓须阤洹初果之人，破惑见理，名为见道。（梵语须阤洹，华言入流，谓预入圣人之流也。）
［一、钝根名随信行］，婆沙论云：由彼依信随信起行，谓此一类行人，从来性多钝故，自不披阅教文，但信他人言说而得悟道，故名随信行。
［二、利根名随法行］，婆沙论云：由彼依法随法起行，谓此一类行人，从来性多利故，不信他言，但自披阅教典，而得悟道，故名随法行。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条