Graphs and principal ideals of finite commutative rings

Authors

J. Cain, University of Dayton, Dayton OHFollow
L. Mathewson, Carrol University, Waukesha, WI
A. Wilkens, Beloit College, Beloit, WI

Abstract

In \cite{ABM}, Afkhami and Khashyarmanesh introduced the cozero-divisor graph of a ring, $\Gamma'(R)$, which examines relationships between principal ideals. We continue investigating the algebraic implications of the graph by developing the reduced cozero-divisor graph, which is a simpler analog.

Author Bio

Josh Cain is an honors student at the University of Dayton. He is majoring in mathematics with minors in computer science and biology. He is involved with the math club, Pi Mu Epsilon, the Pride of Dayton marching band, and the UD Swing Club.

Lindsey Mathewson is a senior at Carroll University in Waukesha, WI. She is double majoring in mathematics and Spanish. At Carroll she is involved with the Learning Commons Tutoring Center, Honor's Advisory Committee, and Circle K.

Amanda Wilkens is a senior mathematics major at Beloit College. She will be graduating with departmental honors in December. She is originally from Grafton, Wisconsin. Her mathematical interests include algebraic and point-set topology and abstract algebra.

Faculty Sponsor

Michael Axtell

Recommended Citation

Cain, J.; Mathewson, L.; and Wilkens, A. (2010) "Graphs and principal ideals of finite commutative rings," Rose-Hulman Undergraduate Mathematics Journal: Vol. 11: Iss. 2, Article 5.
Available at: https://scholar.rose-hulman.edu/rhumj/vol11/iss2/5