On unique factorization domains

Jim Coykendall,William W Smith

doi:10.1016/j.jalgebra.2010.10.024

On unique factorization domains

Jim Coykendall, William W Smith

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https://doi.org/10.1016/j.jalgebra.2010.10.024

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Journal: Journal of Algebra	Publication Date: Feb 26, 2011
Citations: 40	License type: elsevier-specific

Affiliation: North Dakota State University, University of North Carolina at Chapel Hill

#Half-factorial Domain #Unique Factorization Domain + Show 4 more

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Abstract

In this paper we attempt to generalize the notion of “unique factorization domain” in the spirit of “half-factorial domain”. It is shown that this new generalization of UFD implies the now well-known notion of half-factorial domain. As a consequence, we discover that one of the standard axioms for unique factorization domains is slightly redundant.

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