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

页码：91 / 102

页数：12

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