本文讨论了分配格理想的特殊性质。
This paper discusses the special properties of the ideals of distributive lattices.
综述有关分配格表示定理的某些工作。
It is devoted to summarize some word of representation of distributive lattice.
结果给出了该类半环成为分配格的几个等价命题。
Results Some equivalent statements are obtained concerning a semiring becoming a distributive lattice.
将有界分配格上可逆矩阵的有关结果推广到坡上的矩阵。
Some results related to invertible matrices over bounded distributive lattice are generalized to matrices over incline.
弱逼近元在完备格中有许多重要的性质，对于刻划连续格、完全分配格起着重要的作用。
The weak approximating elements of complete lattices have a few significant properties, and play an important role in the characterizations of continuous lattices and completely distributive lattices.
本文对完全分配格的内蕴式刻划给出了一个简洁的直接证明，并给出了内蕴式刻划的若干应用。
In the paper, we present a direct proof of Raney s intrinsic characterization of completely distributive lattices and give some applications of the intrinsic characterization.
第四章讨论了分配格上的中国剩余定理及应用，介绍了格的预备知识、分配格上的理想和分配格上的中国剩余定理，并由此结论设计了一套新的安全通信方案。
In the fourth chapter, we introduce the lattice, the ideal and prove the Chinese remainder theorem in the distributive lattice on which we design a safe communication scheme.
第四章讨论了分配格上的中国剩余定理及应用，介绍了格的预备知识、分配格上的理想和分配格上的中国剩余定理，并由此结论设计了一套新的安全通信方案。
In the fourth chapter, we introduce the lattice, the ideal and prove the Chinese remainder theorem in the distributive lattice on which we design a safe communication scheme.
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