安徽师范大学学报(自然科学版)
安徽師範大學學報(自然科學版)
안휘사범대학학보(자연과학판)
JOURNAL OF ANHUI NORMAL UNIVERSITY (NATURAL SCIENCE)
2003年
1期
5-7
,共3页
GPP环%π-正则环%GP-内射%素中心
GPP環%π-正則環%GP-內射%素中心
GPP배%π-정칙배%GP-내사%소중심
GPP-ring%π-regular ring%GP-injective%prime center
定义GPP环:环R称为左GPP环若对任意a∈R,都存在n使得Ran是投射左R模.我们指出GPP环和π-正则环的关系并给出GPP环的刻划.
定義GPP環:環R稱為左GPP環若對任意a∈R,都存在n使得Ran是投射左R模.我們指齣GPP環和π-正則環的關繫併給齣GPP環的刻劃.
정의GPP배:배R칭위좌GPP배약대임의a∈R,도존재n사득Ran시투사좌R모.아문지출GPP배화π-정칙배적관계병급출GPP배적각화.
In this paper we define GPP-ring as follows: A ring R is called a left GPP-ring if for every a∈R, there exists a positive integer n such that Ran is a profective left R-module. We show some relations between GPP-ring and π-regular ring and give a characterization of GPP-ring.
