| 关于PFI代数的格论性质 |
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| 引用本文： | 朱怡权.关于PFI代数的格论性质[J].四川师范大学学报(自然科学版),2007,30(2):181-184. |
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| 作者姓名： | 朱怡权 |
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| 作者单位： | 肇庆学院,数学系,广东,肇庆,526061 |
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| 摘 要： | 提出了较正则FI代数更为广泛的一类FI代数-PFI代数，并且深入研究了它的格论性质，得到了一个PFI代数的导出偏序集成为一个格或半格的若干条件．
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| 关 键 词： | FI代数 PFI代数 半格 格 |
| 文章编号： | 1001-8395（2007）02-0181-04 |
| 收稿时间： | 2005-03-14 |
| 修稿时间： | 2005年3月14日 |
Some Properties of the PFI Algebras Relative to the Lattice Theory |
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| ZHU Yi-quan.Some Properties of the PFI Algebras Relative to the Lattice Theory[J].Journal of Sichuan Normal University(Natural Science),2007,30(2):181-184. |
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| Authors: | ZHU Yi-quan |
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| Institution: | Department of Mathematics, Zhaoqing College, Zhaoqing 526061, Guangdong |
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| Abstract: | In this paper, the concept of a PFI algebra, which is more extensive than that of a regular FI algebra, is introduced, and some properties of it are discussed. In particular, some conditions for a PFI algebra to become a lattice or semi-lattice relative to its induced ordering are obtained. |
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| Keywords: | FI algebra PFI algebra Semi-lattice Lattice |
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