On a classification of the function fields of algebraic tori
On a classification of the function fields of algebraic tori
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代数环面函数域的分类
DOI：
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发表时间：
1975
影响因子：
0.8
通讯作者：
T. Miyata
中科院分区：
文献类型：
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作者：
S. Endo;T. Miyata
设II是一个有限群，用MII表示所有（无生成Z-自由）II-模的类.在文献[3]中，我们定义了MII中的一个等价关系，并通过对MII中所有等价类的集合加一个加法，构造了交换半群T（II）。调查的半群T（II）似乎有趣和重要的，因为这给出了一个分类的功能领域的代数环面定义在一个领域k分裂的伽罗瓦扩展k组II。
Let II be a finite group and denote by MII the class of all (finitely generated Z-free) II-modules. In the previous paper [3] we defined an equivalence relation in MII and constructed the abelian semigroup T(II) by giving an addition to the set of all equivalence classes in MII . The investigation of the semigroup T(II) seems interesting and important, because this gives a classification of the function fields of algebraic tori defined over a field k which split over a Galois extension of k with group II.