Zero-Divisor Graphs of Polynomials and Power Series Over Commutative Rings

Michael Axtell Department of Mathematics and Computer Science, Wabash College, Crawfordsville, Indiana, USACorrespondence[email protected]

James Coykendall Department of Mathematics, North Dakota State University, Fargo, North Dakota, USA

Joe Stickles Department of Mathematics, University of Evansville, Evansville, Indiana, USA

ABSTRACT

We recall several results about zero-divisor graphs of commutative rings. Then we examine the preservation of diameter and girth of the zero-divisor graph under extension to polynomial and power series rings.

Key Words:

1991 Mathematics Subject Classification:

13A99

Notes

^#Communicated by I. Swanson.

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Zero-Divisor Graphs of Polynomials and Power Series Over Commutative Rings

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Zero-Divisor Graphs of Polynomials and Power Series Over Commutative Rings

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