The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » Math Topics » discretemath

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Two questions on Lattices
Replies: 5   Last Post: Jun 21, 2011 11:54 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]

Posts: 2
From: Malaysia
Registered: 6/20/11
Two questions on Lattices
Posted: Jun 20, 2011 4:33 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

1. Theorem. Let L be a finite lattice. For all x and y in L, x<=y if and only if J(x) is a subset of J(y)(J(z)={t join-irreducible: t<=z}).
I know that above theorem is correct for finite distributive lattices, but I'm not sure is it correct for any finite lattice?

2. Any subset of finite lattice is a lattice. Is it correct?

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.