1) Graded semiprime
分次半素性
2) graded semiprime ri
分次半素环
1.
In this paper,we discuss some qualities of graded nonsingular rings and graded semiprime rings and study the relation between them.
讨论了分次非奇异环与分次半素环的若干性质 ,研究了这两类分次环的关
3) Graded quasisemiprime ideal
分次拟半素理想
4) Graded strongly prime
分次强素性
5) graded prime radical
分次素根
1.
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。
2.
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)。
6) (graded) prime ranks
(分次)素秩
补充资料：素性
1.本性。
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