| 关于Grothendieck群的几点注记 |
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| 引用本文： | 胡庆平. 关于Grothendieck群的几点注记[J]. 纯粹数学与应用数学, 1995, 11(1): 22-24 |
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| 作者姓名： | 胡庆平 |
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| 作者单位： | 西北大学 |
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| 摘 要： | 作者在本文中围绕Ｇｒｏｔｈｅｎｄｉｅｃｋ群对几个问题进行了讨论，主要结果有：１．一切有限生成Ｒ－模的同构类作成一个集合；２．在任意由Ｒ－模作成的集合中稳定同的关系是合同关系；３．Ｇｒｏｔｈｅｎｄｉｅｃｋ群的同构不变性成立。
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| 关 键 词： | Grothendieck群 有限生成模 自由模 R模 |
SOME REMARKS ON GROTHENDIECK GROUPS |
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| Hu Qingping. SOME REMARKS ON GROTHENDIECK GROUPS[J]. Pure and Applied Mathematics, 1995, 11(1): 22-24 |
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| Authors: | Hu Qingping |
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| Abstract: | In this paper the author does some dissussions for several problems around Grothendieck groups. The main results are:1. All isomorphic classes of finitely generated (projective) R-modules form a set;2. The stably isomorphic relation is a congruence relation in an arbitrary set consisting some R-modules;3. The isomorphic invariance of Grothendieck groups holds, i. e. |
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| Keywords: | ring . Grothendieck group finitely generated module finitely generated projective module stably isomorphism free module |
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