The Milnor ring of a global field
The Milnor ring of a global field
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全球领域的米尔诺环
DOI：
10.1007/bfb0073733
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发表时间：
1973
影响因子：
1.8
通讯作者：
J. Tate
中科院分区：
文献类型：
--
作者：
H. Bass;J. Tate
介绍米尔诺环K* F= 11 KF的一个领域F介绍了n> O n（但不这样命名）米尔诺在[BJ。他表明，如何离散估值v对F与剩余类领域k（v）产生了同态av：K* F~ K* k（v）的程度-1分次阿贝尔群。这里证明的基本结果是，如果F是一个整体域，则
Introduction The Milnor ring K* F= 1l KF of a field F was introduced n> O n (but not so christened) by Milnor in [BJ. He showed there how a discrete valuation v on F with residue class field k (v) gives rise to a homomorphism av: K* F~ K* k (v) of degree-1 of graded abelian groups. The basic result proved here is that if F is a global field then the kernel of