Rings with transfinite left division algorithm
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- by Arun Vinayak Jategaonkar PDF
- Bull. Amer. Math. Soc. 75 (1969), 559-561
References
- G. M. Bergman, A ring primitive on the right but not on the left, Proc. Amer. Math. Soc. 15 (1964), 473–475. MR 167497, DOI 10.1090/S0002-9939-1964-0167497-4
- P. M. Cohn, On a generalization of the Euclidean algorithm, Proc. Cambridge Philos. Soc. 57 (1961), 18–30. MR 118743, DOI 10.1017/s0305004100034812
- I. N. Herstein, Topics in ring theory, University of Chicago Press, Chicago, Ill.-London, 1969. MR 0271135
- Nathan Jacobson, A note on non-commutative polynomials, Ann. of Math. (2) 35 (1934), no. 2, 209–210. MR 1503155, DOI 10.2307/1968425
- Arun Vinayak Jategaonkar, Left principal ideal domains, J. Algebra 8 (1968), 148–155. MR 218387, DOI 10.1016/0021-8693(68)90040-9
- Lance W. Small, Hereditary rings, Proc. Nat. Acad. Sci. U.S.A. 55 (1966), 25–27. MR 186720, DOI 10.1073/pnas.55.1.25
Additional Information
- Journal: Bull. Amer. Math. Soc. 75 (1969), 559-561
- DOI: https://doi.org/10.1090/S0002-9904-1969-12242-1
- MathSciNet review: 0244300