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ambiguous ideal
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  自共轭理想
     Let K/k be a quadratic extension of the rational function field k=F_q(l)of characteristic different from 2.The followings are exhibited exp-licitly:all the ambiguous ideal classes(=ideal classes equal their conjuga-tes)of K,including those containing no ambiguous ideal;
     设k=F_q(l)为有理函数域,K 为其二次扩张,特证不为2.本文明显给出以下结果:K 的所有自共轭理想类,包括不含自共轭理想的那些;
短句来源
  相似匹配句对
     On Ideal
     论理想
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     An ambiguous distance——the ideal distance in artistic creation
     不即不离——艺术创造中的理想距离
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     ON THE BIORDER-IDEAL
     关于双序理想
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     An ambiguous distance should be the ideal artistic psychological distance.
     不即不离是艺术创造最理想的心理距离。
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     On the Ambiguous Phenomenon in Grammar
     语法里的歧义现象
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  ambiguous ideal
Let K/Q be a cyclic tamely ramified extension of degree 6, then any ambiguous ideal of K has a normal basis.
      


Let K/k be a quadratic extension of the rational function field k=F_q(l)of characteristic different from 2.The followings are exhibited exp-licitly:all the ambiguous ideal classes(=ideal classes equal their conjuga-tes)of K,including those containing no ambiguous ideal;the 2-rank of theideal class group of K;necessary and sufficient conditions for the classnumber h to be odd;and a table dividing fields K into six classes.Theseresults contain corresponding results obtained by Artin~[1] for imaginaryquadratic...

Let K/k be a quadratic extension of the rational function field k=F_q(l)of characteristic different from 2.The followings are exhibited exp-licitly:all the ambiguous ideal classes(=ideal classes equal their conjuga-tes)of K,including those containing no ambiguous ideal;the 2-rank of theideal class group of K;necessary and sufficient conditions for the classnumber h to be odd;and a table dividing fields K into six classes.Theseresults contain corresponding results obtained by Artin~[1] for imaginaryquadratic function fields.The theory is an extensive analogue of the clas-sical genus theory for quadratic number fields developed by Gauss andHasse,which divides number fields into four classes.

设k=F_q(l)为有理函数域,K 为其二次扩张,特证不为2.本文明显给出以下结果:K 的所有自共轭理想类,包括不含自共轭理想的那些;K 的理想类群的2—秩r_2(K);类数h 为奇数的充分必要条件以及一张把域K 分为六类的分类表.特别,若K=k((?)),D(t)∈F_(?)[t]的不可约因子个数为s,则r_2(K)=s-2(当K 实且D(t)有奇次因子)或s(当K 虚且D()无奇次因子)或s-1(其余(?)形).这些结果包含Artin 是于虚二次函数域的相应结果,完整地把Gaass 和Hasse 等发展起来的二次数域的经典Genus 理论拓展到了二次函数域.在数域的情形域是分为四类.

 
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