# 序理论

60的所有除数的集合的哈斯图，按整除性部分有序

## 基礎定義

### 偏序集合

${\displaystyle a\leq a}$（反身性）

${\displaystyle a\leq b}$${\displaystyle b\leq a}$（全序性）

## 参考文献

• B. A. Davey and H. A. Priestley, 2002. Introduction to Lattices and Order, 2nd ed. Cambridge University Press. ISBN 0-521-78451-4
A good contemporary introduction to the subject. Suitable for undergraduates.
• G. Gierz, K. H. Hofmann, K. Keimel, J. D. Lawson, M. Mislove, and D. S. Scott, 2003, "Continuous Lattices and Domains," in Encyclopedia of Mathematics and its Applications, Vol. 93, Cambridge University Press. ISBN 0-521-80338-1
The comprehensive new version of the famous "Compendium" of continuous lattices. Assumes some advanced mathematical background.
A free online introduction to universal algebra, with much material on lattices.

## 外部链接

• Orders at ProvenMath partial order, linear order, well order, initial segment; formal definitions and proofs within the axioms of set theory.