More properties inherited by the lower radical
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- by R. F. Rossa PDF
- Proc. Amer. Math. Soc. 33 (1972), 247-249 Request permission
Abstract:
Various properties possessed by a class M of not necessarily associative rings are inherited by the lower radical LM, including heredity to one-sided ideals or subrings, failure to contain nonzero noetherian rings and, in the associative case, failure to contain nonzero artinian rings.References
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- A. E. Hoffman and W. G. Leavitt, Properties inherited by the lower radical, Portugal. Math. 27 (1968), 63–66. MR 262278
- R. Tangeman and D. Kreiling, Lower radicals in nonassociative rings, J. Austral. Math. Soc. 14 (1972), 419–423. MR 0314921
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 33 (1972), 247-249
- MSC: Primary 17A99; Secondary 16A21
- DOI: https://doi.org/10.1090/S0002-9939-1972-0296117-8
- MathSciNet review: 0296117