| P_2-环A的所有子环还是P_2-环的条件 |
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| 引用本文： | 张友.P_2-环A的所有子环还是P_2-环的条件[J].松辽学刊,1991(3). |
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| 作者姓名： | 张友 |
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| 作者单位： | 四平师范学院 |
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| 摘 要： | 本文讨论了Ferenc·Szasz提出的问题(3)何种P_2-环的所有子环还是P_2-环.证明了如下结论:强正则环,P_1-环和具有唯一自反逆的正则环是P_2-环.而且若它们满足条件:1.P_2-环A的子环均是A的理想.或2.P_2-环A的子环N的理想均是A的理想.那么它们的所有子环还是P_2-环.
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| 关 键 词： | P_2一环 自反逆 |
THE CONDITATION THAT ALL SUBRINGS OF P_2-RING ARE AGAIN P_2-RING |
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| Zhang You.THE CONDITATION THAT ALL SUBRINGS OF P_2-RING ARE AGAIN P_2-RING[J].Songliao Journal (Natural Science Edition),1991(3). |
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| Authors: | Zhang You |
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| Institution: | Siping Normal College |
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| Abstract: | In this paper, we discuss the problem (3) that was asked by Ferenc Szasz at Math Japoinace in 1972, we obtain the following results.
When A is P1-ring (strongly regular ring, regular ring that has unique reflesive inverse) all subrings of A-ring are again P2-ring it A-ring possess following conditations.
1. subrings of A-ring are ideas of A-ring, or
2. ideas of subrings of A-ring are ideas of A-ring. |
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| Keywords: | P2-rings reflesive inverses |
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