Rings with a weak algorithm

Rings with a weak algorithm
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by P. M. Cohn

Trans. Amer. Math. Soc. 109 (1963), 332-356

DOI: https://doi.org/10.1090/S0002-9947-1963-0153696-8

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References

A. C. Aitken, On the number of distinct terms in the expansion of symmetric and skew determinants, Edinburgh Math. Notes 1944 (1944), no. 34, 1–5. MR 10535
P. M. Cohn, On the free product of associative rings, Math. Z. 71 (1959), 380–398. MR 106918, DOI 10.1007/BF01181410
Paul M. Cohn, On the free product of associative rings. II. The case of (skew) fields, Math. Z. 73 (1960), 433–456. MR 113916, DOI 10.1007/BF01215516
P. M. Cohn, On a generalization of the Euclidean algorithm, Proc. Cambridge Philos. Soc. 57 (1961), 18–30. MR 118743, DOI 10.1017/s0305004100034812
P. M. Cohn, Factorization in non-commutative power series rings, Proc. Cambridge Philos. Soc. 58 (1962), 452–464. MR 138649, DOI 10.1017/s0305004100036720
P. M. Cohn, Noncommutative unique factorization domains, Trans. Amer. Math. Soc. 109 (1963), 313–331. MR 155851, DOI 10.1090/S0002-9947-1963-0155851-X
G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, 5th ed., The Clarendon Press, Oxford University Press, New York, 1979. MR 568909
Nathan Jacobson, A note on non-commutative polynomials, Ann. of Math. (2) 35 (1934), no. 2, 209–210. MR 1503155, DOI 10.2307/1968425

Theory of rings

Non-commutative domains of integrity

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