# Manfred Dugas, Ph.D.

Professor Emeritus of Mathematics

**Qualifications**

Dr. rer. nat. (Doctorate), University of Kaiserslautern (Germany), 1974

(Advisor: Prof. Dr. Heinz Lüneburg)

Habilitation, Essen University, 1980.

**Biography**

Dr. Dugas was born, grew up, and received his education in Germany. He and his family moved to the USA in 1984, after having held a position as Assistant at Essen University. He was an Associate Professor of Mathematics at the University of Colorado at Colorado Springs from 1984 to 1987. He was hired by Baylor University in 1987 and he has been here ever since.

**Academic Interests and Research**

Dr. Dugas is pursuing research in algebra, especially in the theory of Abelian groups, rings and modules. Among many other things, he worked on the realization of rings as endomorphism rings of Abelian groups and the impact of set theory in algebra. Over the years, he (co)authored over 100 research articles.

**Selected Publications**

“Left rigid rings,” joint with J. Buckner, *J. of Algebra 309* (2007), 192-206.

“Quasi-Localizations of Z,” joint with J. Buckner, *Israel J. of Mathematics 160* (2007), 192-206.

“Co-local subgroups of Abelian groups II,” *J. of Pure and Applied Algebra 208* (2007),117-126.

“Quasi-E-locally cyclic torsion-free Abelian groups,” joint with C. Maxson, *Proceedings of the American Mathematical Association 133* (2005), 3447-3453.

“AA-rings,” *Communications in Algebra 32* (2004), 3853-3860.

**Former Ph.D. Students**

Joshua Buckner (May 2007)

**Courses taught at Baylor**

- MTH 1321 - Calculus I
- MTH 1322 - Calculus II
- MTH 2311 - Linear Algebra
- MTH 2321 - Calculus III
- MTH 3312 - Foundations of Combinatorics and Algebra
- MTH 3325 - Differential Equations
- MTH 3350 - Structure of Modern Geometry
- MTH 4314 - Abstract Algebra
- MTH 4316 - Linear Algebra and Matrix Theory
- MTH 5310 - Advanced Abstract Algebra I
- MTH 5311 - Advanced Abstract Algebra II
- MTH 5V91 - Special Topics in Algebra
- MTH 5V99 - Thesis