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Generalizations of V-rings

Xiaobin Yin|Xianmei Song
경북대학교 자연과학대학 수학과|2005.09|Kyungpook Mathematical Journal|제45권 제3호|pp. 357-362

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Abstract

In this paper, we introduce a new notion which we call a generalized weakly ideal. We also investigate characterizations of strongly regular rings with the condition that every maximal left ideal is a generalized weakly ideal. It is proved that R is a strongly regular ring if and only if R is a left GP-V-ring whose every maximal left (right) ideal is a generalized weakly ideal. Furthermore, if R is a left SGPF ring, and every maximal left (right) ideal is a generalized weakly ideal, it is shown that R=J(R) is strongly regular.Several known results are improved and extended.

참고문헌 (11)

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관련 논문AI추천

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