An Introduction to Coalgebras

I’ve just dumped this here, I wrote it for a project in Luxembourg a few months ago. Its not well edited, and there are errors. I may fix these in the future. However it may be of benefit to someone. Introduction to various classical notions of algebras. Coalgebras are defined and introduced, as are various… Continue reading An Introduction to Coalgebras

Commutative Algebra

These notes are based on a lecture on Commutative Algebra at the University of Luxembourg. A variety of sources including Eisenbud, the Princeton Companion to Mathematics and a Classic ‘Algebra’ text by MacLane and Birkhoff have been used to compile these notes. Hopefully it will be of benefit to those studying this course. 1. Lecture… Continue reading Commutative Algebra