Give some results about the coefficient ring R is c-commutative or a p-ring,and show the relation between [[(I∶J)~(S,≤)]] and([[I~(S,≤)]]∶[[J~(S,≤)]]).
讨论R为c-可换环、R为p-环时,广义幂级数环[[RS,≤]]具有的性质。
The second part :We generalize the concept of IN rings ,and pose the concept of p-IN rings, and investigate some properties about p-IN rings.
第二部分:我们推广右IN环的概念,提出了右p-IN环的概念,并且研究了右p-IN环上的一些性质。