2nd Semester 2018/19: Elements of Universal Algebra

Instructors

Frederik Lauridsen

If you are interested in this project, please contact the instructor(s) by email.

Registration through https://datanose.nl/#specialenrol, using the course code: 5314REUA6Y

ECTS

6

Description

Universal algebra provide a unifying framework for studying algebraic structures such as lattices, Heyting algebras, groups, and rings. During this project we will cover some of the fundamentals of universal algebra such as congruences, subdirectly irreducible representations, free algebras, and varieties.

Organisation

During the first two weeks lectures will be given. In the third week students will prepare presentations on selected topics which will be delivered during the last week of the project.

Prerequisites

Mathematical maturity as can be expected from students at the MSc level. Some prior experience with concrete algebraic structures such as lattices or groups will be helpful. Ideally students will have followed the course "Mathematical Structures in Logic" but this requirement is not strict.

Assessment

"Pass/Fail" based on (i) class room participation, (ii) exercises, and (iii) final presentation.

References

We will follow the book:
S. Burris and H.P. Sankappanavar "A Course in Universal Algebra Graduate Texts in Mathematics, 78. Springer-Verlag, New York-Berlin, 1981. xvi+276 pp. Latest edition freely available at:  http://www.math.uwaterloo.ca/~snburris/htdocs/UALG/univ-algebra2012.pdf