关于AP-内射环的一个注记
관우AP-내사배적일개주기
A Note on AP-Injective Rings
  • 万方数据
    数学研究与评论 수학연구여평론
    JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION
    2003年 2期 211-216 ,共6页

    肖光世%殷晓斌%佟文廷

    초광세%은효빈%동문정

    AP-内射环%弱内射环%PP-环 AP-內射環%弱內射環%PP-環
    AP-내사배%약내사배%PP-배
    AP-injective rings%weakly injective rings%PP-rings
    本文的主要目的是讨论AP-内射环中的两个问题:(1)环R是正则的当且仅当R是左AP-内射的左PP-环;(2)如果R是左AP-内射环,那么R是内射环当且仅当R是弱内射环.因此我们推广了内射环的一些结果,与此同时我们还取得了一些新的结果.
    본문적주요목적시토론AP-내사배중적량개문제:(1)배R시정칙적당차부당R시좌AP-내사적좌PP-배;(2)여과R시좌AP-내사배,나요R시내사배당차부당R시약내사배.인차아문추엄료내사배적일사결과,여차동시아문환취득료일사신적결과.
    The purpose of this paper is to study the following two questions on AP-injective rings: (1) R is a regular ring if and only if R is a left PP-ring and R is left AP-injective; (2) Let R be a right AP-injective ring. Then R is self-injective if and only if R is weakly injective. Hence we get some new results of P-injective rings.
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