请输入您要查询的字词:

 

单词 Nucleus
释义

Nucleus


In order theory, a nucleus is afunction F on a meet-semilattice 𝔄 such that (for every p in𝔄):

  1. 1.

    pF(p)

  2. 2.

    F(F(p))=F(p)

  3. 3.

    F(pq)=F(p)F(q)

Usually, the term nucleus is used in frames and locales theory (when thesemilattice 𝔄 is a frame).

1 Some well known results about nuclei

PropositionPlanetmathPlanetmathPlanetmath If F is a nucleus on a frame 𝔄, then the posetFix(F) of fixed pointsPlanetmathPlanetmath of F, with order inherited from𝔄, is also a frame.

随便看

 

数学辞典收录了18232条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/5/4 10:57:17