分次环的分次分式环

GRADED QUOTIENT RINGS OF GROUP GRADED RINGS

设R是G-分次环,给出了分次环R和它的分次右分式环Q_G(R)的相关性质:分次强素性,分次非奇异性,分次半素性。

Let R be a G-graded ring. This paper deals with some related properties of R and Q_G (R): graded strongly prime, graded nonsingularity and graded semiprime.