Title. Revisiting Grätzer-Schmidt
Speaker. Bill Lampe
Abstract. The theorems Rose Willard will talk/has talked about each require a special congruence representation. Our congruence representations will be built using variations on the techniques pioneered by Grätzer and Schmidt. So we now proceed to revisit those techniques and try to gain some further insight into how they work.
We will present their constructions in a slightly new way which makes many of the details easier and makes many of them disappear. Although we will present the construction in a slightly new way, the algebras at the end of either way are isomorphic.
We will also discuss some previously unnoticed features of their construction.