Noether环的Grothendieck群  

THE GROTHENDIECK GROUPS OF NOETHERIAN RINGS

作　　者：陈焕艮[1] 

机构地区：[1]湖南师范大学数学系

出　　处：《广西师范大学学报（自然科学版）》1996年第2期24-27,共4页Journal of Guangxi Normal University:Natural Science Edition

摘　　要：研究了Ｎｏｅｔｈｅｒ环的Ｋ０群，得到了如下结果：设Ｓ为右Ｎｏｅｔｈｅｒ环，ＩＳ为投射右Ｓ－模，且Ｉｍ＝Ｉｍ＋１（ｍ＞０），φ：Ｓ→Ｓ／Ｉ为自然同态，则Ｋ０φ：Ｋ０Ｓ→Ｋ０（Ｓ／Ｉ）为满的群同态．In this paper, the K 0 groups of Noetherian rings were studied,and obtained the following result:Let S be a right Noetherian ring, I an ideal such that I S is projective and I m=I m+1 for some m,φ:S→S/I be a natural homomorphism. Then K 0S→K 0(S/I) is an epimorphism. Moreover,some rings were given applications to.

关 键 词：幂等理想 投射模 诺特尔环 哥罗登迪克群 

分 类 号：O153.3[理学—数学]