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Centralizers in free associative algebras
Author:
George M. Bergman
Journal:
Trans. Amer. Math. Soc. 137 (1969), 327-344
MSC:
Primary 16.10
MathSciNet review:
0236208
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References |
Similar Articles |
Additional Information
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M. Cohn, Subalgebras of free associative algebras, Proc.
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135 (1969),
267–279. MR 0279122
(43 #4848), http://dx.doi.org/10.1090/S0002-9947-1969-0279122-1
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- [1]
- S. A. Amitsur, Commuting linear differential operators, Pacific J. Math. 8 (1959), 1-10. MR 0095305 (20:1808)
- [2]
- G. Birkhoff, Lattice theory, Amer. Math. Soc. Colloq. Publ., Vol. 25, Amer. Math. Soc., Providence, R. I., 1948. MR 0029876 (10:673a)
- [3]
- N. Bourbaki, Eléments de mathématique. Fasc. XXVI: Groupes et algèbres de Lie, Chapitre 1, Algèbres de Lie, Hermann, Paris, 1960.
- [4]
- P. M. Cohn, On subsemigroups of free semigroups, Proc. Amer. Math. Soc. 13 (1962), 347-351. MR 0139680 (25:3111)
- [5]
- P. M. Cohn, On a generalization of the Euclidean algorithm, Proc. Cambridge Philos. Soc. 57 (1961), 18-30. MR 0118743 (22:9514)
- [6]
- -, Factorization in noncommuting power series rings, Proc. Cambridge Philos. Soc. 58 (1962), 452-464. MR 0138649 (25:2092)
- [7]
- -, Noncommutative unique factorization domains, Trans. Amer. Math. Soc. 109 (1963), 313-331. MR 0155851 (27:5785)
- [8]
- -, Rings with weak algorithm, Trans. Amer. Math. Soc. 109 (1963), 332-356. MR 0153696 (27:3657)
- [9]
- -, Subalgebras of free associative algebras, Proc. London Math. Soc. (3) 14 (1964), 618-632. MR 0167504 (29:4777)
- [10]
- -, Free ideal rings, J. Algebra 1 (1964), 47-69. MR 0161891 (28:5095)
- [11]
- -, Some remarks on the invariant basis property, Topology 5 (1966), 215-228. MR 0197511 (33:5676)
- [12]
- P. M. Cohn and G. M. Bergman, Dependence in rings. I: n-firs, (to appear).
- [13]
- P. M. Cohn, Dependence in rings. II: The dependence number, (to appear). MR 0279122 (43:4848)
- [14]
- H. Flanders, Commuting linear differential operators, Tech. Rep. No. 1, Univ of California, Berkeley, 1955, 39 pp.
- [15]
- B. V. Tarasov, O svobodnyh associativnyh algebrah, Algebra i Logika Sem. 6 (1967), 93-105.
- [16]
- O. Zariski and P. Samuel, Commutative algebra, Van Nostrand, Princeton, N. J., 1958. MR 0090581 (19:833e)
- [17]
- G. M. Bergman, Ranks of tensors and base extension, J. Algebra (to appear) MR 0242850 (39:4177)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1969-0236208-5
PII:
S 0002-9947(1969)0236208-5
Article copyright:
© Copyright 1969 American Mathematical Society
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