零对称BZ-代数的充要条件 |
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引用本文: | 张小红,王永全. 零对称BZ-代数的充要条件[J]. 纯粹数学与应用数学, 2003, 19(3): 253-256,273 |
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作者姓名: | 张小红 王永全 |
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作者单位: | 1. 宁波大学理学院数学系,宁波,315211 2. 华东政法学院信息技术中心,上海,200042 |
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摘 要: | 重新证明文[10]中几个重要结论并修正文[10]中的定理1(11)和定理2.在此基础上,利用这些重新证明过的结论及修正过的定理可以按照文[10]中引理3,定理4,定理6,定理7,定理10的证明过程原样证明文[10]中的相应结果.因而在文[10]中,除性质11是结合BZ一代数的等价性质(见文[15]),定理1(11)及定理2需要进行修正外,其余结论及证明过程均成立.
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关 键 词: | 零对称BZ-代数 充要条件 修正 |
文章编号: | 1008-5513(2003)03-0253-04 |
On the necessary and sufficient conditions of zero-symmetric BZ-algebras |
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Abstract: | In this paper, we give the new proof of some results and correct Theorem 1(11) and Theorem 2 in ,which is very important in our discussions. Based on these results, the procedure of the proof of Lemma 3,Theorem 4, Theorem 6,Theorem 7 and Theorem 10 in has become very natual and trivial as that of their original one. |
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Keywords: | zero-symmetric BZ-algebras necessary and sufficient conditions correction |
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