Civil Engineering Association

Congruence Lattices of Finite Algebras

In this work, we review a number of methods for finding a finite algebra with a given congruence lattice, including searching for intervals in subgroup lattices. We also consider methods for proving that algebras with a given congruence lattice exist without actually constructing them. By combining these well known methods with a new method we have developed, we prove that with one possible exception every lattice with at most seven elements is isomorphic to the congruence lattice of a finite algebra.

Code:
***************************************

Content of this section is hidden, You must be registered and activate your account to see this content. See this link to read how you can remove this limitation:

http://forum.civilea.com/thread-27464.html

***************************************

Code:
***************************************

Content of this section is hidden, You must be registered and activate your account to see this content. See this link to read how you can remove this limitation:

http://forum.civilea.com/thread-27464.html

***************************************

This post has been made by CivilEA Post-Generator ver 2.1.6

Direct link:

Code:
***************************************

Content of this section is hidden, You must be registered and activate your account to see this content. See this link to read how you can remove this limitation:

http://forum.civilea.com/thread-27464.html

***************************************

ranger

ssobhan