Grothendieck环及其应用

陈焕艮

数学学报 ›› 1997, Vol. 40 ›› Issue (5)

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中国科学院数学与系统科学研究院期刊网
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数学学报 ›› 1997, Vol. 40 ›› Issue (5) DOI: 10.12386/A1997sxxb0104
论文

Grothendieck环及其应用

    陈焕艮
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Grothendieck Rings and Their Applications

    HuanYin Chen
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摘要

本文以Ｇｒｏｔｈｅｎｄｉｅｃｋ环为工具，利用相关环刻划了环的Ｇｒｏｔｈｅｎｄｉｅｃｋ群，得到了环的连通性、稳定自由性等性质的重要特征．最后给出了它们在群环的应用．

Abstract

By virtue of K 0 ring, we describe Grothendieck groups from related rings, and obtain some important characterizations of conected properties and stably free properties. Finally, we give some applications to group rings.

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K_0环 / 总体维数 / 连通性

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陈焕艮. Grothendieck环及其应用. 数学学报, 1997, 40(5) https://doi.org/10.12386/A1997sxxb0104
HuanYin Chen. Grothendieck Rings and Their Applications. Acta Mathematica Sinica, Chinese Series, 1997, 40(5) https://doi.org/10.12386/A1997sxxb0104
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