Finer factorization characterizations of class number 2

Scott T. Chapman

doi:10.1216/rmj.2021.51.97

Abstract

In [4], class number 2 is characterized among algebraic number rings using basic factorization tools. In this note, we extend these characterizations using finer factorization invariants.

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Scott T. Chapman. "Finer factorization characterizations of class number 2." Rocky Mountain J. Math. 51 (1) 97 - 108, February 2021. https://doi.org/10.1216/rmj.2021.51.97

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Received: 19 October 2019; Revised: 30 June 2020; Accepted: 8 July 2020; Published: February 2021

First available in Project Euclid: 28 May 2021

Digital Object Identifier: 10.1216/rmj.2021.51.97

Subjects:

Primary: 11R27 , 13A05 , 13F05

Keywords: catenary degree , Class number , cross number , nonunique factorization , tame degree

Abstract

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