Geodesic
On Algebraic Number Fields with Unique Factorization
Canadian mathematical bulletin, Tome 5 (1962) no. 2, pp. 151-166

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In this note we obtain some simple criteria which show that in certain algebraic number fields factorization of elements is not unique. All the arguments depend only on the most elementary ideas (except in §6) so that probably many of the results are not new. However the proofs are short and direct and therefore should be of some interest.We now list some basic facts, whose proofs can be found in any of the books listed in the bibliography, at the same time fixing our notation. 
Connell, Ian G. On Algebraic Number Fields with Unique Factorization. Canadian mathematical bulletin, Tome 5 (1962) no. 2, pp. 151-166. doi: 10.4153/CMB-1962-017-5
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     author = {Connell, Ian G.},
     title = {On {Algebraic} {Number} {Fields} with {Unique} {Factorization}},
     journal = {Canadian mathematical bulletin},
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     year = {1962},
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     number = {2},
     doi = {10.4153/CMB-1962-017-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1962-017-5/}
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