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A characterization of length-factorial Krull monoids.

Authors :
Geroldinger, Alfred
Qinghai Zhong
Source :
New York Journal of Mathematics; 2021, Vol. 27, p1347-1374, 28p
Publication Year :
2021

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
MONOIDS
FACTORIZATION
FACTORIALS

Details

Language :
English
ISSN :
10769803
Volume :
27
Database :
Complementary Index
Journal :
New York Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
152524155