“Subdirectly Irreducible Algebras in Varieties of 2-semilattices”

Ian Payne, Department of Pure Mathematics, University of Waterloo

Subdirectly irreducible (SI) algebras serve as building blocks in the sense that every algebra embeds in a product of them. For this reason, SI algebras carry a lot of information. I will state an old conjecture and a relevant partial result, then talk about some results on the SI members of varieties of 2-semilattices. I will not assume the audience knows all of the words in this abstract, but I won’t be defining “conjecture”, “sense”, or “reason”.

MC 5403