Centralizers in free associative algebras
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- by George M. Bergman
- Trans. Amer. Math. Soc. 137 (1969), 327-344
- DOI: https://doi.org/10.1090/S0002-9947-1969-0236208-5
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References
- S. A. Amitsur, Commutative linear differential operators, Pacific J. Math. 8 (1958), 1–10. MR 95305, DOI 10.2140/pjm.1958.8.1
- Garrett Birkhoff, Lattice Theory, Revised edition, American Mathematical Society Colloquium Publications, Vol. 25, American Mathematical Society, New York, N. Y., 1948. MR 0029876 N. Bourbaki, Eléments de mathématique. Fasc. XXVI: Groupes et algèbres de Lie, Chapitre 1, Algèbres de Lie, Hermann, Paris, 1960.
- P. M. Cohn, On subsemigroups of free semigroups, Proc. Amer. Math. Soc. 13 (1962), 347–351. MR 139680, DOI 10.1090/S0002-9939-1962-0139680-3
- 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
- P. M. Cohn, Rings with a weak algorithm, Trans. Amer. Math. Soc. 109 (1963), 332–356. MR 153696, DOI 10.1090/S0002-9947-1963-0153696-8
- P. M. Cohn, Subalgebras of free associative algebras, Proc. London Math. Soc. (3) 14 (1964), 618–632. MR 167504, DOI 10.1112/plms/s3-14.4.618
- P. M. Cohn, Free ideal rings, J. Algebra 1 (1964), 47–69. MR 161891, DOI 10.1016/0021-8693(64)90007-9
- P. M. Cohn, Some remarks on the invariant basis property, Topology 5 (1966), 215–228. MR 197511, DOI 10.1016/0040-9383(66)90006-1 P. M. Cohn and G. M. Bergman, Dependence in rings. I: n-firs, (to appear).
- P. M. Cohn, Dependence in rings. II. The dependence number, Trans. Amer. Math. Soc. 135 (1969), 267–279. MR 279122, DOI 10.1090/S0002-9947-1969-0279122-1 H. Flanders, Commuting linear differential operators, Tech. Rep. No. 1, Univ of California, Berkeley, 1955, 39 pp. B. V. Tarasov, O svobodnyh associativnyh algebrah, Algebra i Logika Sem. 6 (1967), 93-105.
- Oscar Zariski and Pierre Samuel, Commutative algebra, Volume I, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, New Jersey, 1958. With the cooperation of I. S. Cohen. MR 0090581
- George M. Bergman, Ranks of tensors and change of base field, J. Algebra 11 (1969), 613–621. MR 242850, DOI 10.1016/0021-8693(69)90094-5
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 137 (1969), 327-344
- MSC: Primary 16.10
- DOI: https://doi.org/10.1090/S0002-9947-1969-0236208-5
- MathSciNet review: 0236208