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Alfred Geroldinger and
Qinghai Zhong
A characterization of length-factorial Krull monoids
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| Published: |
September 3, 2021. |
| Keywords: |
Krull monoid, sets of lengths, zero-sum, factorial. |
| Subject: |
20M13, 20M14; 13A05, 16D70, 16U30. |
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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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| Acknowledgements
This work was supported by the Austrian Science Fund FWF, Project P33499-N and by the National Natural Science Foundation of China, Grant No. 12001331.
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| Author information
Alfred Geroldinger:
University of Graz, NAWI Graz
Institute for Mathematics and Scientific Computing
Heinrichstrasse 36, 8010 Graz, Austria
alfred.geroldinger@uni-graz.at
Qinghai Zhong:
University of Graz, NAWI Graz
Institute for Mathematics and Scientific Computing
Heinrichstrasse 36, 8010 Graz, Austria, and
School of Mathematics and statistics
Shandong University of Technology
Zibo, Shandong 255000, China
qinghai.zhong@uni-graz.at
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