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On Properties of Square-free Elements in Commutative Cancellative Monoids by Jędrzejewicz, Piotr; Marciniak, Mikołaj; Matysiak, Łukasz; Zieliński, Janusz is a scholarly article available to read on EtoBox.

What is On Properties of Square-free Elements in Commutative Cancellative Monoids about?

We discuss various square-free factorizations in monoids in the context of: atomicity, ascending chain condition for principal ideals, decomposition, and a greatest common divisor property. Moreover, we obtain a full characterization of submonoids of factorial monoids in which all square-free elements of a submonoid are square-free in a monoid. We also present factorial properties implying that all atoms of a submonoid are square-free in a monoid.

Author

Jędrzejewicz, Piotr; Marciniak, Mikołaj; Matysiak, Łukasz; Zieliński, Janusz

Published

2018

Language

EN