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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Word problems

Author(s): Trevor Evans
Journal: Bull. Amer. Math. Soc. 84 (1978), 789-802.
MSC (1970): Primary 02F47, 02E10; Secondary 08A15, 08A25
MathSciNet review: 0498063
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References | Similar articles | Additional information

References:

1.
G. Bergman, The diamond lemma in ring theory, Advances in Math, (to appear).
2.
W. Boone, The word problem, Ann. of Math. (2) 70 (1959), 207-265. MR 179237
3.
W. Boone and G. Higman, An algebraic characterization of groups with soluble word problem, J. Austral. Math. Soc. (Hanna Neumann memorial volume) 2 (1974), 41-53. MR 357625
4.
M. Dehn, Über unendliche diskontinuierliche Gruppen, Math. Ann. 71 (1911), 116—144.
5.
V. H. Dyson, The word problem and residually finite groups, Notices Amer. Math. Soc. 11 (1964), 743.
6.
T. Evans, The word problem for abstract algebras, J. London Math. Soc. 26 (1951), 64-71. MR 38958
7.
T. Evans, Embeddability and the word problem, J. London Math. Soc. 28 (1953), 76-80. MR 53915
8.
T. Evans, On multiplicative systems defined by generators and relations.I, Normal form theorems, Proc. Cambridge Philos. Soc. 47 (1951), 637-649. MR 43764
9.
T. Evans, On multiplicative systems defined by generators, and relations.II, Monogenic loops, Proc. Cambridge Philos. Soc. 49 (1953), 579-589. MR 57865
10.
T. Evans, Some connections between residual finiteness, finite embeddability and the word problem, J. London Math. Soc. (2) 1 (1969), 399-403. MR 249344
11.
T. Evans, Identities and relations in commutative Moufang loops, J. Algebra 31 (1974), 508-513. MR 348025
12.
T. Evans, Some solvable word problems, Proc. Conf. on Decision Problems in Algebra (Oxford, July 1976), North-Holland, Amsterdam (to appear). MR 579941
13.
T. Evans, K. Mandelberg and M. F. Neff, Embedding algebras with solvable word problems in simple algebras. Some Boone-Higman type theorems, Proc. Logic Colloq. (Univ. of Bristol, July 1973), North-Holland, Amsterdam, 1975, 259-277. MR 389568
14.
K. W. Gruenbcrg, Residual properties of infinite soluble groups, Proc. London Math. Soc. (3) 7 (1957), 29-62. MR 87652
15.
E. A. Golubov, Finite approximability, finite separability, and semi-group-theoretic constructions, First All-Union Symposium on the Theory of Semigroups, 18-23, Ural Gos. Univ., Sverdlosk, 1969. (Russian) MR 258989
16.
M. M. Gluhov and A. A. Gvaramija, A solution of the fundamental algorithmic problems in certain classes of quasigroups with identities, Sibirsk. Mat. Z. 10 (1969), 297-317; English transl., Siberian Math. J. 10 (1969), 211-224. MR 241561
17.
M. Hall, Jr., Coset representations in free groups, Trans. Amer. Math. Soc. 67 (1949), 421-432. MR 32642
18.
P. Hall, Some word problems, J. London Math. Soc. 33 (1958), 482-496. MR 102540
19.
G. Higman, Subgroups of finitely presented groups, Proc. Roy. Soc. Edinburgh Sect. A262 (1961), 455-475. MR 130286
20.
J. Kalicki, On comparison of finite algebras, Proc. Amer. Math. Soc. 3 (1952), 36-40. MR 47584
21.
A. V. Kuznecov, O problemah tozdestva i funkcionalnoi polnoty dlja algebraiceskin system, in Trudy 3-go Vsesojuznono Mat. S"ezda, Vol. 2. (Dokl. Akad. Nauk SSSR, Moscow, 1956), 145-146.
22.
A. V. Kuznecov, Uspehi Mat. Nauk., 3rd issue (1958), 240.
23.
M. M. Lesohin, Approximability of semigroups and separability of subsemigroups, Interuniv. Sci. Sympos. General Algebra, Tartu Gos. Univ., Tartu, 1966, 52-62. (Russian) MR 206132
24.
C. C. Lindner and T. Evans, Finite embedding theorems for partial designs and algebras, Coll. Sem. de Math. Superieures, Univ. of Montreal Press, Montreal, 1977. MR 460213
25.
A. I. Malcev, On homomorphisms onto finite groups, Učen Zap. Ivanovsk Ped. Inst. 18 (1958), 49-60.
26.
A. I. Malcev, The metamathematics of algebraic systems, Studies in Logic, North-Holland, Amsterdam, 1971. MR 349383
27.
R. McKenzie, On spectra and the negative solution of the decision problem for identities having a finite non-trivial model, J. Symbolic Logic 40 (1975), 186-196. MR 376323
28.
S. Meskin, A finitely generated residually finite group with an unsolvable word problem, Proc. Amer. Math. Soc. 43 (1974), 8-10. MR 335645
29.
K. A. Mihailova, The occurrence problem for direct products of groups, Dokl. Akad. Nauk SSSR 119 (1958), 1103-1105. (Russian) MR 100018
30.
V. L. Murskii, Isomorphic embedding of a semi-group with an enumerable set of defining relations in a finitely presented semi-group, Mat. Zametki 1 (1967), 217-224. MR 210800
31.
P. S. Novikov, On the algorithmic unsolvability of the word problem in group theory, Trudy Mat. Inst. Steklov, 44 (1955); English transl., Amer. Math. Soc. Transl. (2) 9 (1958), 1-122. MR 92784
32.
M. Orzech and L. Ribes, Residual finiteness and the Hopf property in rings, J. Algebra 15 (1970), 81-88. MR 255587
33.
E. L. Post, Recursive unsolvability of a problem of Thue, J. Symbolic Logic 12 (1947), 1-11. MR 20527
34.
D. Scott, Equationalfy complete extensions of finite algebras, Indag. Math. 18 (1956), 35-38. MR 82960
35.
A Thue, Probleme über Veranderungen von Zeichenreihen nach gegebenen Reglen, Skr. Vid. Kristiana I. 10 (1914).
36.
P. Whitman, Free lattices, Ann. of Math. (2) 42 (1941), 325-329. MR 3614

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Additional Information:

DOI: 10.1090/S0002-9904-1978-14516-9
PII: S 0002-9904(1978)14516-9




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