The Mathematical Education (한국수학교육학회지시리즈A:수학교육)
- Volume 31 Issue 2
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- Pages.141-144
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- 1992
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- 1225-1380(pISSN)
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- 2287-9633(eISSN)
A PROPERTY OF P-INJETIVE RING
Abstract
In this paper, some properties of p-injective ring is studied: The Jacobson radical of a pinjective ring which satisfies the ascending chain condition on essential left ideals is nilpotent. Also, the left singular ideal of a ring which satisfies the ascending chain condition on essential left ideals is nilpotent. Finally, we give an example which shows that a semiprime left p-injective ring such that every essential left ideal is two-sided is not necessarily to be strongly regular.egular.
Keywords