关于广义Keune符号的若干性质的研究
On Research for Some Properties of General Keune Symbol
DOI: 10.12677/PM.2018.81004, PDF,   
作者: 王 磊*, 范自强:安徽理工大学数学与大数据学院,安徽 淮南
关键词: Steinberg群K2Keune符号Steinberg Group K2 Group Keune Symbol
摘要: 1981年,Keune给出了交换环的三元符号(我们称之为Keune符号)。2013年,范自强等将Keune符号推广到一般环(含单位元),并讨论了该符号的一些关系。本文将讨论广义Keune符号的若干性质,这些性质对研究稳定秩1环的K2群是非常重要的。
Abstract: Keune defined ternary symbol (named by Keune symbol) of commutative ring in 1981, Fan etc generated it to a general ring with identity, and some relations of this symbol are discussed in 2013. In this Paper, we discuss some its properties, these properties are very important to give the presentation of K2 of stable range one ring.
文章引用:王磊, 范自强. 关于广义Keune符号的若干性质的研究[J]. 理论数学, 2018, 8(1): 22-28. https://doi.org/10.12677/PM.2018.81004

参考文献

[1] Milnor, J. (1971) Introduction to Algebraic K-Theory. Princeton University Press, Princeton.
[2] Keune, F. (1972) The K2 of 1-Fold Ring. Springer-Verlag, Berlin, 281-303.
[3] Keune, F. (1981) The Another Presentation for the K2 of a Local Domain. Journal of Pure and Applied Algebra, 22, 131-141. [Google Scholar] [CrossRef
[4] Fan, Z.Q., Song, G.T. and Peng, Y.Z. (2013) Relations of Keune Symbols. Comptes Rendus Mathematique, 351, 865- 870. [Google Scholar] [CrossRef
[5] Peng, Y.Z., Fan Z.Q. and Song G.T. (2011) On the K2 of a Ring with Stable Range One. Southeast Asian Bulletin of Mathematics, 35, 641-652.