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arXiv · 2107.13539

On square-free and radical factorizations and existence of some divisors

Lukasz Matysiak
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Abstract

We discuss various square-free and radical factorizations and existence of some divisors in monoids in the context of: atomicity, ascending chain condition for principal ideals, a pre-Schreier property, a greatest common divisor property and a greatest common divisor for sets property.

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Lukasz Matysiak. 2021-07-27. On square-free and radical factorizations and existence of some divisors. https://arxiv.org/abs/2107.13539

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