Keywords
- Left Ideal
- Prime Ring
- Homomorphic Image
- Chain Condition
- Semiprime Ring
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References
E.P. Armendariz, Rings with an almost noetherian ring of fractions, Math. Scand. 41, (1977), 15–18.
R. Gilmer and M. O’Malley, Non-noetherian rings for which each proper subring is noetherian, Math. Scand. 31 (1972), 118–122.
J. Hausen and J.A. Johnson, A non-commutative minimally non-noetherian ring, Math. Scand. 36 (1975), 313–316.
I.N. Herstein and L. Small, Nil rings satisfying certain chain conditions, Can. J. of Math. 16 (1964), 771–776.
W.G. Leavitt and L.C.A. van Leeuwen, Rings isomorphic with all proper factor-rings, Proc. 1978 Antwerp Conf., Ring theory, Marcel Dekker Inc. pp.783–798.
J.F. Watters, Non-commutative minimally non-noetherian rings, Math. Scand. 40 (1977), 176–182.
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© 1980 Springer-Verlag
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van Leeuwen, L.C.A. (1980). Radicals and chain conditions. In: van Oystaeyen, F. (eds) Ring Theory Antwerp 1980. Lecture Notes in Mathematics, vol 825. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089128
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DOI: https://doi.org/10.1007/BFb0089128
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10246-5
Online ISBN: 978-3-540-38334-5
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