A first course on algebraic structures, including semigroups, monoids, groups, (semi)rings and (semi)lattices with many examples, some basic concepts and results about these structures (subalgebras, direct products, homomorphisms, Cayley’s theorem, Lagrange’s Theorem, isomorphism theorems, classification of abelian groups) and applications to error-correcting codes and cryptography.

• Teacher: Peter Jipsen