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1)  ring of skew Hurwitz series
斜Hurwitz级数环
1.
On the ring of skew Hurwitz series;
斜Hurwitz级数环
2)  ring of skew Hurwitz power series
斜Hurwitz幂级数环
3)  the rings of Hurwitz series
Hurwitz级数环
1.
It is shown that if R is a domain and_ZR is torsion free,then the rings of Hurwitz series over R satisfies the ascending chain condition for principal ideals if and only if R satisfies the ascending chain condition for principal ideals.
证明了如果R是整环并且ZR无挠,则R上的Hurwitz级数环HR满足条件主理想升链条件(ACCP),当且仅当R满足条件ACCP。
4)  ring of Hurwitz series
Hurwitz幂级数环
5)  skew power series ring
斜幂级数环
1.
Some extension of clean general rings is expounded based on it and it is shown that:(1) a general ring I is a clean general ring if and only if its power series ring is a clean general ring if and only if its skew power series ring is a clean general ring.
在此基础上讨论了一般clean环的几个扩张性质,得到如下结论:1)一般环I是一般clean环当且仅当I的形式幂级数环是一般clean环当且仅当I的斜幂级数环是一般clean环。
2.
It is shown that the skew power series ring R[[x; α]] is right p.
本文证明了斜幂级数环R[[x,α]]是右主拟Baer环当且仅当R是右主拟Baer环,并且R的任意可数幂等元集在I(R)中有广义交,其中I(R)是R的幂等元集。
3.
Given a c commutative ring R , obtains some conditions such that the skew power series ring R[[x,α]] and the trivial extension R∝M are also c commutative,and give examples to show these conditions are necessary.
对于 c-可换环 R,给出条件使得斜幂级数环 R[[x,α]]和 R的平凡扩张 R∝Μ也为 c-可换环 ,并用例子说明这些条件是必要的 。
6)  Hurwitz number
Hurwitz数
1.
The authors use algebraic methods to compute the Hurwitz numbers of degree n ramified coverings of a Riemann surface of genus h by a Riemann surface of genus g having r branch points of order (1 n-k ,k).
用代数方法 ,计算分支阶数均为 (1n-k,k)的亏格为 g的黎曼面到亏格为h的黎曼面的n 重分歧覆盖的Hurwitz
2.
A relation between Hurwitz number and Hodge integrals is got via virtual localization method.
这篇文章首先介绍了Hurwitz数的定义及一些性质,然后利用virtual局部化方法推出了Hodge积分与Hurwitz数之间一个联系。
补充资料:Hurwitz公式


Hurwitz公式
Hurwftz formula

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