The strongly prime radical
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- by W. K. Nicholson and J. F. Watters PDF
- Proc. Amer. Math. Soc. 76 (1979), 235-240 Request permission
Abstract:
Let R denote a strongly prime ring. An explicit construction is given of the radical in R-mod corresponding to the unique maximal proper torsion theory. This radical is characterized in two other ways analogous to known descriptions of the prime radical in rings. If R is a left Ore domain the radical of a module coincides with the torsion submodule.References
- David Handelman and John Lawrence, Strongly prime rings, Trans. Amer. Math. Soc. 211 (1975), 209–223. MR 387332, DOI 10.1090/S0002-9947-1975-0387332-0
- Lawrence Levy, Torsion-free and divisible modules over non-integral-domains, Canadian J. Math. 15 (1963), 132–151. MR 142586, DOI 10.4153/CJM-1963-016-1
- Bo Stenström, Rings of quotients, Die Grundlehren der mathematischen Wissenschaften, Band 217, Springer-Verlag, New York-Heidelberg, 1975. An introduction to methods of ring theory. MR 0389953
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 76 (1979), 235-240
- MSC: Primary 16A12; Secondary 16A21
- DOI: https://doi.org/10.1090/S0002-9939-1979-0537080-8
- MathSciNet review: 537080