Ahhh, a slightly different question. It will perhaps take a few days to get to someone who has worked very extensively with them (if anyone has), considering that (a) you got little in response immediately, and (b) George Gratzer responded but did not tell you he had seen some work on such things.... :-) Have you got some nice results using this notion?

Matt Insall, PhD

Associate Professor of Mathematics

Department of Mathematics and Statistics, suite 315

Missouri University of Science and Technology

(formerly University of Missouri - Rolla)

400 W. 12th St.

Rolla MO 65409-0020

(573)341-4901

insall@...
http://web.mst.edu/~insall/
Essays:

http://web.mst.edu/~insall/Essays/Bernoulli%20Functions%20versus%20modern%20functions/
http://web.mst.edu/~insall/Essays/Consistency%20in%20Mathematics/
http://web.mst.edu/~insall/Essays/First%20Lines/
http://web.mst.edu/~insall/Essays/Set%20Theory/
Effective Jan. 1, 2008, UMR became Missouri University of Science and Technology (Missouri S&T)

PS: visit lulu.com!

viaR03

-----Original Message-----

From:

univalg@yahoogroups.com [mailto:

univalg@yahoogroups.com] On Behalf Of Gejza Jenca

Sent: Friday, January 21, 2011 3:46 PM

To:

univalg@yahoogroups.com
Subject: Re: [univalg] A small terminology question about lattice congruences

2011/1/21 Insall, Matt <

insall@...>

>

>

>

> Perhaps ``linearizing'' would be a good term to coin for these congruences? ``theta _linearizes_ L iff L/theta is a chain''...

>

>

>

> Similarly, if K is a class of lattices and L/theta is in K, then we might say ``theta _K-izes_ L'':

Thank you, a good suggestion.

I was thinking about the name "cochain congruence" -- since this

notion is dual to

(embedding of a) chain.

Anyway, what I really wanted to know is whether someone in the past

worked with this type

of coungruences. Obviously, a google search for "lattice" "congruence"

"linear" "chain"

would give me about 50% of the papers on lattice theory in history. So

without knowing

the exact name, there is no chance to find something relevant.

--

GJ

------------------------------------

Yahoo! Groups Links