THE SERIALITY OF THE GROUP RING OF A FINITE GROUP DEPENDS ONLY ON THE CHARACTERISTIC OF THE FIELD

Yu. Volkov; A. Kukharev; G. Puninski

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THE SERIALITY OF THE GROUP RING OF A FINITE GROUP DEPENDS ONLY ON THE CHARACTERISTIC OF THE FIELD

机译：有限群的群环的串行性仅取决于场的特征

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摘要

It is proved that the seriality of the group ring of a finite group over a field depends only on the characteristic of the field. Bibliography: 10 titles.

机译：证明了一个有限群在一个场上的环环的序列只取决于场的特性。参考书目：10种。

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《Journal of Mathematical Sciences》 |2015年第4期|515-521|共7页
作者
Yu. Volkov; A. Kukharev; G. Puninski;
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作者单位

Department of Algebra and Number Theory, Mathematics and Mechanics Faculty of St.Petersburg State University, St.Petersburg, Russia;

Kafedra of Algebra and Information Security, Department of Mechanics and Mathematics, Belarusian State University, Minsk, Belarus;

Kafedra of Algebra and Information Security, Department of Mechanics and Mathematics, Belarusian State University, Minsk, Belarus;

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专利

1. Regular local rings essentially of finite type over fields of prime characteristic [J] . Furuya M, Niitsuma H Journal of Algebra . 2006,第2期

机译：基本特征场上基本为有限类型的规则局部环
2. Uniformly defining valuation rings in Henselian valued fields with finite or pseudo-finite residue fields [J] . Cluckers R., Derakhshan J., Leenknegt E., Annals of Pure and Applied Logic . 2013,第12期

机译：在带有有限或伪有限残差字段的Henselian值字段中统一定义评估环
3. A Bit-Serial Multiplier Architecture for Finite Fields Over Galois Fields [J] . Hero Modares, Yasser Salem, Rosli Salleh, Journal of computer sciences . 2010,第11期

机译：Galois域上有限域的位串行乘法器体系结构
4. A versatile low power design of bit-serial multiplier in finite fields GF (2m) [C] . Remy M, Prabhu E, Mangalam H International Conference on Communications and Signal Processing . 2014

机译：有限域GF（2 m ）中位串行乘法器的通用低功耗设计
5. Serial-serial finite field multiplication. [D] . Alkhoraidly, Abdulaziz Mohammad. 2005

机译：串行-串行有限域乘法。
6. Characters over Certain Types of Rings with Applications to the Theory of Equations in a Finite Field [O] . L. K. Hua, H. S. Vandiver 1949

机译：某些类型环上的特征及其在有限域方程理论中的应用
7. The ring of invariants of the orthogonal group over finite fields in odd characteristic [O] . Barnes Sue 2008

机译：奇特征有限域上正交群的不变量环
8. The Use of Finite Fields and Rings to Compute Convolutions. [R] . reed,irving s. 1975

机译：使用有限域和环来计算卷积。

THE SERIALITY OF THE GROUP RING OF A FINITE GROUP DEPENDS ONLY ON THE CHARACTERISTIC OF THE FIELD

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