Maximal quotient rings
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- by Carl Faith and Yuzo Utumi
- Proc. Amer. Math. Soc. 16 (1965), 1084-1089
- DOI: https://doi.org/10.1090/S0002-9939-1965-0182642-3
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References
- Carl Faith and Yuzo Utumi, Quasi-injective modules and their endomorphism rings, Arch. Math. (Basel) 15 (1964), 166–174. MR 166226, DOI 10.1007/BF01589182
- Carl Faith and Yuzo Utumi, On Noetherian prime rings, Trans. Amer. Math. Soc. 114 (1965), 53–60. MR 172895, DOI 10.1090/S0002-9947-1965-0172895-4
- G. D. Findlay and J. Lambek, A generalized ring of quotients. I, II, Canad. Math. Bull. 1 (1958), 77–85, 155–167. MR 94370, DOI 10.4153/CMB-1958-009-3
- Nathan Jacobson, Structure of rings, American Mathematical Society Colloquium Publications, Vol. 37, American Mathematical Society, 190 Hope Street, Providence, R.I., 1956. MR 0081264
- R. E. Johnson, The extended centralizer of a ring over a module, Proc. Amer. Math. Soc. 2 (1951), 891–895. MR 45695, DOI 10.1090/S0002-9939-1951-0045695-9
- R. E. Johnson, Quotient rings of rings with zero singular ideal, Pacific J. Math. 11 (1961), 1385–1392. MR 143779
- E. T. Wong and R. E. Johnson, Self-injective rings, Canad. Math. Bull. 2 (1959), 167–173. MR 106922, DOI 10.4153/CMB-1959-022-9
- Y. Utumi, On rings of which any one-sided quotient rings are two-sided, Proc. Amer. Math. Soc. 14 (1963), 141–147. MR 142568, DOI 10.1090/S0002-9939-1963-0142568-6
Bibliographic Information
- © Copyright 1965 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 16 (1965), 1084-1089
- MSC: Primary 16.80
- DOI: https://doi.org/10.1090/S0002-9939-1965-0182642-3
- MathSciNet review: 0182642