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Transactions of the American Mathematical Society

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Infinite primes and unique factorization in a principal right ideal domain


Author: Raymond A. Beauregard
Journal: Trans. Amer. Math. Soc. 141 (1969), 245-253
MSC: Primary 16.15
DOI: https://doi.org/10.1090/S0002-9947-1969-0242879-X
MathSciNet review: 0242879
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References [Enhancements On Off] (What's this?)

  • [1] N. Bourbaki, Éléments de mathématique. Algèbre commutative, Chapitre 2, Hermann, Paris, 1961.
  • [2] P. M. Cohn, Noncommutative unique factorization domains, Trans. Amer. Math. Soc. 109 (1963), 313-331. MR 0155851 (27:5785)
  • [3] -, Torsion modules over free ideal rings, J. London Math. Soc. 17 (1967), 557-599. MR 0222112 (36:5164)
  • [4] N. Jacobson, The theory of rings, Math. Surveys No. 2, Amer. Math. Soc., Providence, R. I., 1943. MR 0008601 (5:31f)
  • [5] A. V. Jategaonkar, A counter example in ring theory and homological algebra (to appear).
  • [6] R. E. Johnson, Unique factorization in principal right ideal domains, Proc. Amer. Math. Soc. 16 (1965), 526-528. MR 0175927 (31:203)
  • [7] O. Ore, Theory of noncommutative polynomials, Ann. of Math. (2) 34 (1933), 480-508. MR 1503119

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DOI: https://doi.org/10.1090/S0002-9947-1969-0242879-X
Article copyright: © Copyright 1969 American Mathematical Society

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