Geodesic
Unique factorization in rings with right ACC1
Glasgow mathematical journal, Tome 19 (1978) no. 2, pp. 167-171

Voir la notice de l'article provenant de la source Cambridge University Press

If R is an integral domain with maximum condition for principal right ideals—right ACC1—every nonzero non-unit in Rhas irreducible factors, but is not necessarily a product of such factors. Using additional basic factors—called infinite primes in [1]—results about unique factorization in principal right ideal domains have been obtained in [1], [2], and [5]. 
Brungs, H. H. Unique factorization in rings with right ACC1. Glasgow mathematical journal, Tome 19 (1978) no. 2, pp. 167-171. doi: 10.1017/S0017089500003591
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[1] 1.Beauregard, R. A., Infinite primes and unique factorization in a principal right ideal domain, Trans. Amer. Math. Soc. 141 (1969), 245–253. Google Scholar | DOI

[2] 2.Brungs, H. H., Generalized discrete valuation rings, Canad. J. Math. 21 (1969), 1404–1408. Google Scholar | DOI

[3] 3.Brungs, H. H., Ringe mit eindeutiger Faktorzerlegung, J. Reine Angew. Math. 236 (1969), 45–66. Google Scholar

[4] 4.Cohn, P. M., Free rings and their relations (Academic Press, 1971). Google Scholar

[5] 5.Jategaonkar, A., Left principal ideal rings, Lecture Notes in Mathematics 123 (Springer-Verlag, 1970). Google Scholar | DOI

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