A Note on Square-Free Factorizations.¶
Jędrzejewicz, P., Matysiak, Ł., & Zieliński, J. (2017). A Note on Square-Free Factorizations. Analytic and Algebraic Geometry 2.
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Domain-specific¶
- Square-Free Element
- These equivalences use unique factorization; the divisibility predicate itself can be stated in broader commutative monoids, where the prime-factor characterization may no longer be available.
This sourceDefines square-free elements by exclusion of a nonunit square factor and studies existence and uniqueness of square-free factorizations beyond UFDs.
- These equivalences use unique factorization; the divisibility predicate itself can be stated in broader commutative monoids, where the prime-factor characterization may no longer be available.
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