Graphs and principal ideals of finite commutative rings
نویسندگان
چکیده
In [1], Afkhami and Khashyarmanesh introduced the cozero-divisor graph of a ring, Γ′(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. Acknowledgements: This research was undertaken at the Wabash College Mathematics REU in Crawfordsville, Indiana. It was funded by the National Science Foundation, grant number DMS-0755260. The authors would like to thank Dr. Michael Axtell of the University of St. Thomas, Dr. Joe Stickles of Millikin University, and Wabash College. Page 96 RHIT Undergrad. Math. J., Vol. 11, no. 2
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تاریخ انتشار 2010