共查询到16条相似文献,搜索用时 93 毫秒
1.
2.
3.
对一般群分次环境立了弱分次周期根的概念,证明它是一个分次特殊根,给出了它的分次模刻,讲座了它与自反周期根的关系。 相似文献
4.
设M={A=⊕_(g∈G)A_g,V=⊕_(g∈G)V_g,W=⊕_(g∈G)W_g,B=⊕_(g∈G)B_g}与(,),[,]是一个G-分次Morita Context,且满足(V,W)=A,[W,V]=B,A,B都有单位元.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). 相似文献
5.
6.
7.
8.
研究了分次广义Γ-环的弱强分次B row n-M cC oy根与拟弱强分次B row n-M cC oy根,并从不同角度刻划了分次广义Γ-环的弱强分次B row n-M cC oy根.证明了任何一个分次广义Γ-环都有弱强分次B row n-M cC oy根和拟弱强分次B row n-M cC oy根,而且弱强分次B row n-M cC oy根小于等于拟弱强分次B row n-M c-C oy根. 相似文献
9.
10.
本文研究了群分次环的有限正规分次扩张问题.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. 相似文献
11.
12.
We introduce the graded version of the antisimple primitive radical $ {\user1{\mathcal{S}\mathcal{J}}} $ , the graded antisimple primitive radical $ {\user1{\mathcal{S}\mathcal{J}}}_{G} $ . We show that $ {\user1{\mathcal{S}\mathcal{J}}}_{G} = {\user1{\mathcal{S}\mathcal{J}}}_{{{\text{ref}}}} = {\user1{\mathcal{S}\mathcal{J}}}^{G} $ when |G| < ∞, where $ {\user1{\mathcal{S}\mathcal{J}}}_{{{\text{ref}}}} $ denotes the reflected antisimple primitive radical and $ {\user1{\mathcal{S}\mathcal{J}}}^{G} $ denotes the restricted antisimple primitive radical. Furthermore, we discuss the graded supplementing radical of $ {\user1{\mathcal{S}\mathcal{J}}}^{G} $ . 相似文献
13.
In this paper, sturcture theorems are given for graded primitive rings with minimal graded one-sided ideals and arbitrary minimal graded one-sided ideals of general group-graded rings respectively. 相似文献
14.
Sheng Gui Zhang 《数学学报(英文版)》2001,17(1):113-118
In this paper, we discuss the connection between rigid graded selfduality over some noncommutative graded ring and the selfduality
over its initial subring.
Project supported by FPNSFC 相似文献
15.
Thomas Hüttemann 《代数通讯》2013,41(8):2991-2995
Following ideas of Quillen we prove that the graded K-theory of a ? n -graded ring with support contained in a pointed cone is entirely determined by the K-theory of the subring of degree 0 elements. 相似文献
16.
Antônio Pereira BrandãoJr Plamen Koshlukov Alexei Krasilnikov 《Monatshefte für Mathematik》2009,157(3):247-256
Let K be an infinite integral domain, and let A = M
2(K) be the matrix algebra of order two over K. The algebra A can be given a natural -grading by assuming that the diagonal matrices are the 0-component while the off-diagonal ones form the 1-component. In
this paper we study the graded identities and the graded central polynomials of A. We exhibit finite bases for these graded identities and central polynomials. It turns out that the behavior of the graded
identities and central polynomials in the case under consideration is much like that in the case when K is an infinite field of characteristic 0 or p > 2. Our proofs are characteristic-free so they work when K is an infinite field, char K = 2. Thus we describe finite bases of the graded identities and graded central polynomials for M
2(K) in this case as well.
A. Krasilnikov has been partially supported by CNPq and FINATEC. 相似文献