THE DETERMINANT MAPS AND K0

被引：0
|
作者：
Yin Fancheng [1 ]
Zhu Xiaosheng [2 ]
机构：
[1] Hohai Univ, Dept Math, Nanjing 210098, Jiangsu, Peoples R China
[2] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2014年 / 44卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Determinant map; Grothendieck groups; power stably free; MM ring; MODULES;
D O I：
10.1216/RMJ-2014-44-1-91
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a commutative ring R, the determinant map det(0): Rk(0)(R) -> Pic (R) given by [M] - [Rm] bar right arrow (boolean AND(m) M) is a homomorphism from the additive group of Rk(0)(R) to the multiplicative group Pic (R). In this paper, some properties of the determinant map det0 are given and some results in [5] are extended.
引用
收藏
页码：91 / 102
页数：12
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