关于格中的大元与小元

On the Large(Small)Elements of Lattices

本文在具有单位元和零元的格内引入了大（小）元概念，研究了其基本性质；在序元的定义下，给出了在某种条件下，大（小）元的特征；最后探讨了大元与极小元（即原子）以及小元与极大元（即对偶原子）的关系。

In this paper, the concept of large(small)elements in a Lattice with theunit and the zero is introduced,and the elementary properties and the characteristics ofLarge(small)elements under certain conditions are studied.Finally,the relationshipsbetween large(small)elements and atoms(dual atoms)are given.