A note on square-free factorizations
Piotr J\k{e}drzejewicz, {\L}ukasz Matysiak, Janusz Zieli\'nski
TL;DR
This paper investigates properties of square-free factorizations within specific algebraic domains, providing insights into their structure and behavior in gcd domains and those with ACCP.
Contribution
It offers new analysis of square-free factorizations in gcd domains and domains with ACCP, highlighting their properties and differences from classical factorizations.
Findings
Characterization of square-free factorizations in gcd domains
Analysis of properties in domains satisfying ACCP
Comparison with classical factorization behaviors
Abstract
We analyze properties of various square-free factorizations in greatest common divisor domains and domains satisfying the ascending chain condition for principal ideals.
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Taxonomy
TopicsRings, Modules, and Algebras