1) order extension principle
序扩张原则
1.
The following results are obtained:(1)the set P(X) of all partially ordered relations on X is atomic and arithmetic complete semilattice under the order of set inclusion ,and maximal elements,chains and meet irreducible elements coincide in (P(X),);(2)if |X|>2,then (P(X),) is not coditional distributive;(3) in the set theory ZF+the order extension principle,the set of meet.
证明了：（１）给定集Ｘ上的偏序关系全体Ｐ（Ｘ）在包含序下为原子的算术的完备交半格，其极大元等同于全序关系，也等同于交既约元；（２）当｜Ｘ｜＞２时，（Ｐ（Ｘ），）不满足条件分配律；（３）在公理系统“ＺＦ＋序扩张原则”中，Ｐ（Ｘ）是交既约元生成的，并对传递关系和拟序关系进行了类似的讨论。
2) expanding principle
扩张性原则
1.
And it analyzes and elaborates the necessity of the expanding principle existence,on the basis of discrimination to the related concept,and finally analyzes several kinds of concrete situations of res judicata subjective extent expansion.
文章在对相关概念进行辨析的基础上,分析阐述扩张性原则存在的必要性,最后分析几种既判力主观范围扩张的具体情形。
3) regular extension
正则扩张
5) extensions of partial order
偏序扩张
1.
In this paper, we mainly study extensions of partial order and finitely totally order for partially ordered semirings, and obtain some new results.
本文主要研究了偏序半环的偏序扩张和有限全序扩张，并得到了一些新的结果。
6) Unlimited Sprawl
无序扩张
补充资料：极大扩张和极小扩张
极大扩张和极小扩张
maximal and minimal extensions
极大扩张和极小扩张匡.习的司出目.公油抽lex妇心.旧;MaKcl.Ma刀‘.oe H Mll.”M田.妇oe PaC山一Pe皿朋] 一个对称算子(s笋nr贺苗c opemtor)A的极大扩张和极小扩张分别是算子牙(A的闭包，(见闭算子(cfo“月。详mtor”)和A’(A的伴随，见伴随算子(呐。int opera.tor)).A的所有闭对称扩张都出现在它们之间.极大扩张和极小扩张相等等价于A的自伴性(见自伴算子(义休.adjoint operator))，并且是自伴扩张唯一性的必要和充分条件.A.H.J’Ior朋oB，B.c.lll户、MaR撰
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参考词条