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On a general theory of factorization in integral domains
Journal article   Open access  Peer reviewed

On a general theory of factorization in integral domains

D. D Anderson and Andrea M Frazier
Rocky Mountain Journal of Mathematics, Vol.41(3), pp.663-705
2011
DOI: 10.1216/RMJ-2011-41-3-663
url
https://doi.org/10.1216/RMJ-2011-41-3-663View
Published (Version of record) Open Access

Abstract

This paper introduces a general theory of factorization of elements in integral domains. This theory subsumes most if not all previously studied cases such as the usual factorization into irreducible elements or into prime elements; the factorization into distinguished classes of elements such as prime powers, primary, or t-pure elements, and the comaximal factorizations of McAdam and Swan.

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