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A note on square-free factorizations

2016/09/29 by Piotr Jędrzejewicz, Jędrzejewicz, Piotr, Łukasz Matysiak +4
Mathematics · #13F15 #13F20 #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras #math.AC #msc:13F15 #msc:13F20

paper · pdf · doi:10.48550/arxiv.1609.09464

7 pages. The content of this paper had formed Section 4 of first version of our article "On some factorial properties of subrings", arXiv:1606.06592v1. This section has been removed in the present version arXiv:1606.06592v2

arxiv created 2016/09/29 · openalex publication_date 2016/09/29 · arxiv updated 2016/09/30 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

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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