F.C群上的Noetherian斜群环

数学季刊 ›› 2006, Vol. 21 ›› Issue (3): 338-341.

F.C群上的Noetherian斜群环

College of Mathematics and Information Science, Henan University, Kaifeng 475001, China

收稿日期:2004-12-27 出版日期:2006-09-30 发布日期:2023-11-27
作者简介:HU Chang-liu(1947-),male,native of Kaifeng,Henan,a professor of Henan University,engages in ring,lattice and algebra.
基金资助:
Supported by the NSF of Educational Department of Henan Province(20025100003)；

Noetherian Skew Group Rings of F.C Groups

College of Mathematics and Information Science, Henan University, Kaifeng 475001, China

Received:2004-12-27 Online:2006-09-30 Published:2023-11-27
About author:HU Chang-liu(1947-),male,native of Kaifeng,Henan,a professor of Henan University,engages in ring,lattice and algebra.
Supported by:
Supported by the NSF of Educational Department of Henan Province(20025100003)；

摘要/Abstract

摘要： Let R_*θG be the skew group ring with a F.C group G and the group homom-rphismθfrom G to Aut(R), the group of automorphisms of the ring R. In this paper,the necessary and sufficient condition such that R*θG will be Noetherian is given, which generalizes the results of I.G. connel.

关键词: skew , group , ring, Noetherian ring, F.C , group

Abstract: Let R_*θG be the skew group ring with a F.C group G and the group homom-rphismθfrom G to Aut(R), the group of automorphisms of the ring R. In this paper,the necessary and sufficient condition such that R*θG will be Noetherian is given, which generalizes the results of I.G. connel.

Key words: skew , group , ring, Noetherian ring, F.C , group

中图分类号:

O153.3

胡长流, 王建平. F.C群上的Noetherian斜群环[J]. 数学季刊, 2006, 21(3): 338-341.

HU Chang-liu, WANG Jian-ping. Noetherian Skew Group Rings of F.C Groups[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(3): 338-341.

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