| 关于FuchS广零伪根的几个问题 |
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| 引用本文： | 朱彬.关于FuchS广零伪根的几个问题[J].怀化学院学报,1993(5). |
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| 作者姓名： | 朱彬 |
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| 作者单位： | 怀化师专数学系 |
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| 摘 要： | 本文讨论了MHR环和Von Ncumann正则环的Fuchs广零伪根,所得结果部分回答了Szasz《Radicals of Rings》中的公开问题67,109,完全回答了公开问题108,并且修正了其中的一个定理。
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| 关 键 词： | Fuchs广零伪根 MHR环 Von Ncumann正则环 |
Some Problems on Fuchs Pseudoradicals |
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| Zhu Bin.Some Problems on Fuchs Pseudoradicals[J].Journal of Huaihua University,1993(5). |
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| Authors: | Zhu Bin |
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| Institution: | Department of Mathematics |
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| Abstract: | Abstract Let A be a ring (without identity),we denot F(A) to be the Fuchs Pseudoradicals of A 2] G(A) denots Brown-Mccoy radicals of A, and We dcnot Br(BL) to be the set of non-right(left) divisors of zero of A,In this paper,We prove these following theorems.
Theorem 1:Let A is a ring with minimum condition on principal right ideals.
Theorem 2 If A is a Von Neumann regular ring then, G(A) = F(A) or G(A) = A. |
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| Keywords: | MHR rings Von Neumann regular ring Fuchs Pseudoradicals |
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