| Baer-环构成条件的反例探讨 |
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| 引用本文： | 金海兰,李婧.Baer-环构成条件的反例探讨[J].延边大学理工学报,2010,36(1):16-20. |
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| 作者姓名： | 金海兰 李婧 |
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| 作者单位： | 延边大学理学院,数学系,吉林,延吉133002 |
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| 摘 要： | 研究了Baer-环的若干性质和构成条件.在文献1]给出素PI-环S=Mat2(Z2x])的子环R是素PI-环但不是Baer-环这一反例的基础上,进一步证明了对任意素数p,R是素PI-环,但不是Baer-环,从而扩展了文献1]给出的反例的条件.
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| 关 键 词： | 素PI-环 直和项 Baer-环 Noetherian-环 Goldie-环 |
The Counterexample of Constistic Condition for Baer Rings |
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| JIN Hai-lan,LI Jing.The Counterexample of Constistic Condition for Baer Rings[J].Journal of Yanbian University (Natural Science),2010,36(1):16-20. |
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| Authors: | JIN Hai-lan LI Jing |
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| Affiliation: | ( Department of Mathematics, College of Sciences, Yanbian University, Yanji 133002, China ) |
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| Abstract: | We study several properties of Baer ring and the conditions for which ring may be Baer. Due to 1], the subring R of prime PI ring S=Mat2（Z2x]） is prime PI ring, but it can not be Baer. Furthermore, under this counterexample, we prove that R is prime PI ring, but it is not Baer for any prime p. Accordingly, we extend the class of counterexample of Baer rings. |
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| Keywords: | prime PI ring direct summand Baer ring Noetherian ring Goldie ring |
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