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Abstract
Using factorization properties, we give several characterizations for a ring of algebraic integers to have class number at most 2.
Acknowledgments
The author gratefully acknowledges support under an Academic Leave during the fall of 2017 funded by Sam Houston State University. He would also like to thank the referees and editor Susan Colley for comments that greatly improved the exposition of this paper.
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Notes on contributors
Scott T. Chapman
SCOTT T. CHAPMAN is Scholar in Residence and Distinguished Professor of Mathematics at Sam Houston State University in Huntsville, Texas. In December of 2016 he finished a five-year appointment as Editor of The American Mathematical Monthly. His editorial work, numerous publications in the area of nonunique factorizations, and years of directing REU Programs, led to his designation in 2017 as a Fellow of the American Mathematical Society.