Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

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


Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Homomorphism of posets and lattices
Replies: 16   Last Post: Sep 20, 2013 6:22 AM

Advanced Search

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

Posts: 1,240
Registered: 1/8/12
Re: Homomorphism of posets and lattices
Posted: Sep 19, 2013 1:04 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Now that those definitions have finally been corrected,
I've found yet another error to bring to your attention.

Proposition 3.4. Let f be a monotone map from a meet-semilattice K
to some poset L. If
Aa,b in K: f(a meet b) = f(a) meet f(b)
then f is a straight map.

The problem I see with this proposition is that
f(a) meet f(b) doesn't exist for a,b in K.

I suggest these corrections.

Let f be a monotone map from a meet-semilattice K to some meet-semilattice L.

Let f be a monotone map from a meet-semilattice K to some poset L
for which f(K) is a meet-semilattice.

Comments or suggestions anyone?



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

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.