On a conjecture of D. C. Murdoch concerning primary decompositions of an ideal
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References
- Wilfred E. Barnes, Primal ideals and isolated components in noncommutative rings, Trans. Amer. Math. Soc. 82 (1956), 1–16. MR 78347, DOI 10.1090/S0002-9947-1956-0078347-9
- Wilfred E. Barnes and William M. Cunnea, Ideal decompositions in Noetherian rings, Canadian J. Math. 17 (1965), 178–184. MR 170903, DOI 10.4153/CJM-1965-017-x
- Charles W. Curtis, On additive ideal theory in general rings, Amer. J. Math. 74 (1952), 687–700. MR 49161, DOI 10.2307/2372273
- L. Lesieur and R. Croisot, Théorie Noethérienne des anneaux, des demi-groupes et des modules dans le cas non commutatif. II, Math. Ann. 134 (1958), 458–476 (French). MR 103904, DOI 10.1007/BF01343795 —, Algèbre Noethérienne non commutative, Gauthier-Villars, Paris, 1963.
- D. C. Murdoch, Contributions to noncommutative ideal theory, Canad. J. Math. 4 (1952), 43–57. MR 45698, DOI 10.4153/cjm-1952-004-7
- D. C. Murdoch, Subrings of the maximal ring of quotients associated with closure operations, Canadian J. Math. 15 (1963), 723–743. MR 153694, DOI 10.4153/CJM-1963-070-6
- John A. Riley, Axiomatic primary and tertiary decomposition theory, Trans. Amer. Math. Soc. 105 (1962), 177–201. MR 141683, DOI 10.1090/S0002-9947-1962-0141683-4
- Morgan Ward and R. P. Dilworth, Residuated lattices, Trans. Amer. Math. Soc. 45 (1939), no. 3, 335–354. MR 1501995, DOI 10.1090/S0002-9947-1939-1501995-3
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 925-932
- MSC: Primary 16.20
- DOI: https://doi.org/10.1090/S0002-9939-1968-0227212-6
- MathSciNet review: 0227212