| 局部极大理想 |
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| 摘 要： | 分配格上的局部极大理想是素理想,而一般格上的则不然.本文证明了格上局部极大理想是素理想的几个充分必要条件,并用格中相对零化子的对偶概念描述了局部极大理想的素特征.
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| 关 键 词： | 半理想 半滤子 不可约理想 局部极大理想 |
Locally maximal ideal |
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| PAWAR Y S,KHOPADE S S. Locally maximal ideal[J]. Journal of Xuzhou Normal University(Natural Science Edition), 2010, 28(4) |
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| Authors: | PAWAR Y S KHOPADE S S |
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| Abstract: | Locally maximal ideals are prime in a distributive lattice, but not in a general lattice. The aim of this paper is to prove several necessary and sufficient conditions for a locally maximal ideal in a lattice to be prime. Dual of the concept of relative annihilator in a lattice is used to characterize the primeness of locally maximal ideals. |
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| Keywords: | semi-ideal semi-filter irreducible ideal locally maximal ideal |
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