An example of an atomic pullback without the ACCP |
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| Authors: | Jason G Boynton Jim Coykendall |
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| Institution: | 1. Department of Mathematics, North Dakota State University, Fargo, ND 58108–6050, United States of America;2. Department of Mathematical Sciences, Clemson University, Clemson, SC 29634, United States of America |
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| Abstract: | We find necessary and sufficient conditions on a pullback diagram in order that every nonzero nonunit in its pullback ring admits a finite factorization into irreducible elements. As a result, we can describe a method of easily producing atomic domains that do not satisfy the ascending chain condition on principal ideals. |
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| Keywords: | Primary 13F15 secondary 13A05 |
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