2 papers
math.AC2023
Adjacency-Like Conditions and Induced Ideal Graphs
Saba al-Kaseasbeh, Jim Coykendall
In this paper we examine some natural ideal conditions and show how graphs can be defined that give a visualization of these conditions. We examine the interplay between the multip…
math.AC2016
Spontaneous atomicity for polynomial rings with zero-divisors
Jim Coykendall, Stacy Trentham
In this paper, we show that it is possible for a commutative ring with identity to be non-atomic (that is, there exist non-zero nonunits that cannot be factored into irreducibles)…