Posted: Tuesday, January 23, 2018

Darrin Weber, assistant professor of mathematics, has published a paper in the International Electronic Journal of Algebra. The paper is titled "The Zero-Divisor Graph of a Commutative Ring without Identity" and can be found at http://ieja.net/files/papers/volume-23/11-V23-2018.pdf.

It is a joint work with David F. Anderson (University of Tennessee).

A ring is a mathematical structure where you can add, subtract, and multiply, but not necessarily divide (think of the integers). A zero-divisor is an element in a ring that multiplies to another element to give you 0. Zero-divisors do not have a lot of structure, so we place them in a graph and see what the graphical structure can tell us about the ring structure. This paper furthers that endeavor by looking at a new class of rings.

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