Bulletin of the American Mathematical Society

Rings with transfinite left division algorithm

Arun Vinayak Jategaonkar

Full-text: Open access

Article information

Source
Bull. Amer. Math. Soc. Volume 75, Number 3 (1969), 559-561.

Dates
First available in Project Euclid: 4 July 2007

Permanent link to this document
http://projecteuclid.org/euclid.bams/1183530557

Mathematical Reviews number (MathSciNet)
MR0244300

Zentralblatt MATH identifier
0175.02904

Citation

Jategaonkar, Arun Vinayak. Rings with transfinite left division algorithm. Bulletin of the American Mathematical Society 75 (1969), no. 3, 559--561. http://projecteuclid.org/euclid.bams/1183530557.


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References

  • 1. G. M. Bergman, A ring primitive on the right but not on the left, Proc. Amer. Math. Soc. 15 (1964), 473-475.
  • 2. P. M. Cohn, On a generalization of the Euclidean algorithm, Proc. Cambridge Philos. Soc. 57 (1961), 18-30.
  • 3. I. N. Herstein, Topics in ring theory, Mathematics lecture notes, University of Chicago, Chicago, Ill., 1965.
  • 4. N. Jacobson, A note on non-commutative polynomials, Ann. of Math. (2) 35 (1934), 209-210.
  • 5. A. V. Jategaonkar, Left principal ideal domains, J. Algebra 8 (1968), 148-155.
  • 6. L. W. Small, Hereditary rings, Proc. Nat. Acad. Sci. U.S.A. 55 (1966), 25-27.