| 关于几类代数系之间的关系 |
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| 引用本文： | 宋子伦,李宪年. 关于几类代数系之间的关系[J]. 陕西理工学院学报(自然科学版), 2001, 17(3): 70-72 |
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| 作者姓名： | 宋子伦 李宪年 |
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| 作者单位： | 1. 汉中师范学院数学与计算机科学系
2. 汉中师范学校 |
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| 摘 要： | 引入偏序结合交换剩余独异点和具有条件(S)的弱FI代数等概念,给出了它们的简化公理系.建立了偏序结合交换剩余独异点与具有条件(S)的结合BCI代数之间的对应关系,也建立了具有条件(S)的弱FI代数与偏序交换剩余独异点之间的关系.
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| 关 键 词： | 偏序结合交换剩余独异点 具有条件(S)的弱FI代数 具有条件(S)的结合BCI代数 |
| 文章编号： | 1002-3410(2001)03-0070-03 |
| 修稿时间： | 2001-05-22 |
On the relationship between some algebra systems |
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| SONG Zi_lun ,LI Xian_nian. On the relationship between some algebra systems[J]. Journal of Shananxi University of Technology(Natural Science Edition), 2001, 17(3): 70-72 |
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| Authors: | SONG Zi_lun LI Xian_nian |
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| Affiliation: | SONG Zi_lun 1,LI Xian_nian 2 |
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| Abstract: | In the paper, in the introduction of the concepts of associative and commutative residual monoid and weak FI-algebra with condition (s), the authors prove the following results: associative and commutative residual monoid is equivalent to the associative BCI-algebra with condition (s); and commutative residual monoid is equivalent to weak FI-algebra with condition (s). |
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| Keywords: | associative and commutative residual monoid weak FI-algebra with condition (s) associative BCI-algebra with condition (s) |
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