摘要
设R是G-分次环,引进分次奇异理想(sing_G R)概念,讨论了分次非奇异环(sing_G R=0)与分次半素环的关系,R的分次非奇异性与R_(G),R#G~■的非奇异性的关系。
Let R is G-graded ring, graded nonsingular ideal (sing_GR) is introduced. Deals with some relative of graded nonsingular ring and graded semiprime ring. Gives some relations of graded nonsingularity of R and nonsingulavity of R_e, R#G~*.
关键词
分次奇异理想
分次非奇异环
结合环
Graded semiprime ring, Graded nonsingular ring, Graded singular ideal
