On the Extension of PM-Ring

数学季刊 ›› 1994, Vol. 9 ›› Issue (2): 1-7.

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On the Extension of PM-Ring

Dept. of Math.,Hebei Teachers Univ.,Shijiazhuang,050016

收稿日期:1992-10-05 出版日期:1994-06-30 发布日期:2025-04-23

On the Extension of PM-Ring

Dept. of Math.,Hebei Teachers Univ.,Shijiazhuang,050016

Received:1992-10-05 Online:1994-06-30 Published:2025-04-23

摘要/Abstract

摘要： A ring is called PM ring every primitive ideal is a intersection of its some maximal ideals.In this paper,the property of PM-ring is discussed and the necessary and sufficient condition are given for the polynomial,centralizing,strongly normal extensions of PM-ring to be PM-rings.We also get some applications of the extensjon of PM-ring in group ring.

关键词: Brown-McCoy , ring;Jacobson , ring;Liberal , extension;PM-ring;polynomial , extension;strongly nomals extension

Abstract: A ring is called PM ring every primitive ideal is a intersection of its some maximal ideals.In this paper,the property of PM-ring is discussed and the necessary and sufficient condition are given for the polynomial,centralizing,strongly normal extensions of PM-ring to be PM-rings.We also get some applications of the extensjon of PM-ring in group ring.

Key words: Brown-McCoy , ring;Jacobson , ring;Liberal , extension;PM-ring;polynomial , extension;strongly nomals extension

中图分类号:

O152

朱元森. On the Extension of PM-Ring[J]. 数学季刊, 1994, 9(2): 1-7.

Zhu Yuansen. On the Extension of PM-Ring[J]. Chinese Quarterly Journal of Mathematics, 1994, 9(2): 1-7.

On the Extension of PM-Ring

On the Extension of PM-Ring

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