- Finite Mathematics
- Calculus
- Linear Algebra
- Abstract Algebra
- Foundations of Geometry

- Regular and inverse semigroups
- Embedding theorems for semigroups

*College Mathematics for Business, Economics, Life Sciences, and Social Sciences, Twelveth Edition*, (with Raymond A. Barnett and Michael R. Ziegler) Prentice-Hall, 2011.- Embedding any countable semigroup in a 2-generated congruence-free semigroup,
*Semigroup Forum*41 (1990) 145-153. - Embedding any countable semigroup without idempotents in a 2-generated simple semigroup without idempotents,
*Glasgow Math. J.*30 (1988), 121-128. - Karl Byleen, and Francis Pastijn. Implications for Semigroups Embeddable in Orthocryptogroups,
*Rocky Mountain Journal of Mathematics*17 (1987), 463-478.

- Karl Byleen. Inverse Semigroups With Countable Universal Semilattices, Semigroups and Their Applications
*: Proceedings of the International Conference Held at the California State University*, April 10-12, 1986 (edited by Simon M. Goberstein and Peter M. Higgins), D. Reidel (1987), pp. 37-42.