A characterization of length-factorial Krull monoids

2021/01/26 by Geroldinger, Alfred, Zhong, Qinghai · 1 citation
#13A05 #16D70 #16U30 #20M13 #20M14 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2101.10908

Abstract

An atomic monoid is length-factorial if each two distinct factorizations of any element have distinct factorization lengths. We provide a characterization of length-factorial Krull monoids in terms of their class groups and the distribution of prime divisors in the classes.

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