Free modules over free algebras and free group algebras: The Schreier technique

Free modules over free algebras and free group algebras: The Schreier technique
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Trans. Amer. Math. Soc. 145 (1969), 455-465

DOI: https://doi.org/10.1090/S0002-9947-1969-0249461-9

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References

Commuting elements in free algebras and related topics in ring theory

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, 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, Free ideal rings, J. Algebra 1 (1964), 47–69. MR 161891, DOI 10.1016/0021-8693(64)90007-9
P. M. Cohn, On the free product of associative rings. III, J. Algebra 8 (1968), 376–383. MR 222118, DOI 10.1016/0021-8693(68)90066-5
P. M. Cohn, Free associative algebras, Bull. London Math. Soc. 1 (1969), 1–39. MR 241460, DOI 10.1112/blms/1.1.1
M. J. Dunwoody, On verbal subgroups of free groups, Arch. Math. (Basel) 16 (1965), 153–157. MR 181666, DOI 10.1007/BF01220015
A. Karrass and D. Solitar, Note on a theorem of Schreier, Proc. Amer. Math. Soc. 8 (1957), 696–697. MR 86813, DOI 10.1090/S0002-9939-1957-0086813-1
A. Karrass and D. Solitar, On free products, Proc. Amer. Math. Soc. 9 (1958), 217–221. MR 95875, DOI 10.1090/S0002-9939-1958-0095875-8

The theory of groups

Jacques Lewin, Subrings of finite index in finitely generated rings, J. Algebra 5 (1967), 84–88. MR 200297, DOI 10.1016/0021-8693(67)90027-0
John Stallings, Groups of dimension 1 are locally free, Bull. Amer. Math. Soc. 74 (1968), 361–364. MR 223439, DOI 10.1090/S0002-9904-1968-11955-X