On the Left Classical Quotient Rings of the Superprime Rings

数学季刊 ›› 1994, Vol. 9 ›› Issue (3): 95-101.

On the Left Classical Quotient Rings of the Superprime Rings

Dept. of Math. Jiangxi Normal University,Nanchang,Jiangxi Province

收稿日期:1993-02-19 出版日期:1994-09-30 发布日期:2025-04-22

On the Left Classical Quotient Rings of the Superprime Rings

Dept. of Math. Jiangxi Normal University,Nanchang,Jiangxi Province

Received:1993-02-19 Online:1994-09-30 Published:2025-04-22

摘要/Abstract

摘要： In this paper,we define the left rank of a ring Rand discuss the relations between a left ore reng Rand its left classical quotient ring Q on the properties of their ideals and left ranks.Also we gave four equivalent types of the proposition:a ring Rhas a left classical quotient ring Qand Qis a division ring.As an application of this result,we gave a brief proof method which different from [2]on the theorem of the Goldie Prime rings.

中图分类号:

O152

陈培慈. On the Left Classical Quotient Rings of the Superprime Rings[J]. 数学季刊, 1994, 9(3): 95-101.

Chen Peici(. On the Left Classical Quotient Rings of the Superprime Rings[J]. Chinese Quarterly Journal of Mathematics, 1994, 9(3): 95-101.

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On the Left Classical Quotient Rings of the Superprime Rings

On the Left Classical Quotient Rings of the Superprime Rings

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