Malcev-Neumann环的PS-性质

Malcev-Neumann环的PS-性质

赵仁育

西北师范大学经济管理学院, 甘肃兰州 730070

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 赵仁育

PS-property of Malcev-Neumann rings

ZHAO Ren-yu

College of Economic and Management, Northwest Normal University, Lanzhou 730070, Gansu, China

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: ZHAO Ren-yu

摘要/Abstract

摘要： 设R是环, G是群,σ是从G到R的自同构群的映射。证明了若R是约化的右PS环, G是有序群,σ是弱刚性的,则Malcev-Neumann环R*((G))是右PS环。同时还证明了,在上述条件下,Malcev-Neumann环R*((G))的子环R*(G)也是右PS环。

关键词: Malcev-Neumann环, 约化环 , PS环

Abstract: Let R be a ring,G a group and σ a map from G into the group of　 automorphisms of R. It was shown that if R is a reduced right　 the PS ring G is an ordered group and σ is weakly rigid,　 then the Malcev-Neumann ring R*((G)) is a right PS-ring. It was　 also shown that, under the same conditions, the sub-ring R*(G) of R*((G)) is also a right PS ring.

Key words: reduced ring , PS ring, Malcev-Neumann ring

中图分类号:

O153.3

赵仁育 . Malcev-Neumann环的PS-性质[J]. J4, 2007, 42(12): 87-89 .

ZHAO Ren-yu . PS-property of Malcev-Neumann rings[J]. J4, 2007, 42(12): 87-89 .

参考文献

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed

[1]	张子珩,储茂权,殷晓斌. GWCN环的若干性质[J]. 山东大学学报（理学版）, 2016, 51(12): 10-16.
[2]	魏杰, 董珺. 强α-可逆环的推广[J]. 山东大学学报（理学版）, 2015, 50(03): 88-94.
[3]	董珺魏杰. α-可逆环的推广[J]. J4, 2009, 44(8): 62-67.