Rings with restricted minimum condition
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- by Avraham J. Ornstein PDF
- Proc. Amer. Math. Soc. 19 (1968), 1145-1150 Request permission
References
- I. S. Cohen, Commutative rings with restricted minimum condition, Duke Math. J. 17 (1950), 27–42. MR 33276
- Charles Hopkins, Rings with minimal condition for left ideals, Ann. of Math. (2) 40 (1939), 712–730. MR 12, DOI 10.2307/1968951
- Nathan Jacobson, The Theory of Rings, American Mathematical Society Mathematical Surveys, Vol. II, American Mathematical Society, New York, 1943. MR 0008601 —, Structure of rings, 2nd ed., Amer. Math. Soc. Colloq. Publ., Vol. 37, Amer. Math. Soc., Providence, R.I., 1964. I. Kaplansky, Notes on ring theory, Lecture Notes, Univ. of Chicago, 1956.
- Jakob Levitzki, On rings which satisfy the minimum condition for the right-hand ideals, Compositio Math. 7 (1939), 214–222. MR 600
- B. L. Osofsky, A generalization of quasi-Frobenius rings, J. Algebra 4 (1966), 373–387. MR 204463, DOI 10.1016/0021-8693(66)90028-7
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 1145-1150
- MSC: Primary 16.25
- DOI: https://doi.org/10.1090/S0002-9939-1968-0233838-6
- MathSciNet review: 0233838