| 拉回的K_0-群和行列式映射(英文) |
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| 引用本文： | 王肇西.拉回的K_0-群和行列式映射(英文)[J].四川师范大学学报(自然科学版),2009,32(3). |
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| 作者姓名： | 王肇西 |
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| 作者单位： | 南京大学,数学系,江苏,南京,210093 |
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| 摘 要： | 设S为交换环,行列式映射det0:Rk0(S)Pic(S)定义为P]-Sm]|→〈∧mP〉是加法群Rk0(S)到乘法群Pic(S)的同态.主要给出了行列式映射与拉回的K0-群之间的一些关系.
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| 关 键 词： | 拉回 K0群 行列式映射 交换环 同态 |
K_0-Groups of Pullbacks and Determinant Maps |
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| WANG Zhao-xi.K_0-Groups of Pullbacks and Determinant Maps[J].Journal of Sichuan Normal University(Natural Science),2009,32(3). |
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| Authors: | WANG Zhao-xi |
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| Institution: | Department of Mathematics;Nanjing University;Nanjing 210093;Jiangsu |
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| Abstract: | Given a commutative ring S, the determinant map det0:Rk0(S)Pic(S) given by P]-Sm]|→〈∧mP〉 is a homomorphism from the additive group of Rk0(S) to the multiplicative group Pic(S). In this paper, some relations between the determinant maps and the pullbacks of K0 groups are obtained. |
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| Keywords: | Pullback K0 group Determinant map Commutative ring Homomorphism |
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