Survey 1979: Equational Logic - Department of Mathematics ...
Survey 1979: Equational Logic - Department of Mathematics ...
Survey 1979: Equational Logic - Department of Mathematics ...
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REFERENCES<br />
This is not really a complete bibliography, but it should contain enough to allow one to track<br />
down all important references relating to this survey. Works with expository or historical sections<br />
especially relevant to this material are denoted *. In lieu <strong>of</strong> an index, we have indicated in brackets<br />
{ } the sections in which these works are referred to.<br />
1. Aczl, J., Lectures on functional equations and their applications, Academic Press, New York,<br />
1966.{16}<br />
2. Adams, J. F., On the non-existence <strong>of</strong> elements <strong>of</strong> Hopf invariant one, Ann. Math. (2),<br />
72(1960), 20-104. {16.1}<br />
3. Adjan, S. I., The Burnside problem and identities in groups, Nauka, Moscow, 1975. { 14.5}<br />
4. Akataev, A. A., and D. M. Smirnov, The lattice <strong>of</strong> subvarieties <strong>of</strong> an algebraic variety, (in<br />
Russian), Alg. i Logika, 7(1968), 5-25.<br />
5. Albert, A. A., Power-associative rings, Trans. Amer. Math. Soc., 64(1948), 552-593. { 6 }<br />
6.* Amitsur, S. A., Polynomial identities, Israel J. Math., 19(1974), 183-199. {8.4 }<br />
7. Andreqa, M., B. Dahn and I. Ne'meti, On a pro<strong>of</strong> <strong>of</strong> Shelah, Bull. Polish Acad. Sci., 24(1976),<br />
1-7. {3}<br />
8. Aust, C., Primitive elements and one-relation algebras, Trans. Amer. Math. Soc., 193(1974),<br />
375-387. {14.12}<br />
9. Austin, A. K., A note on models <strong>of</strong> identities, Proc. Amer. Math. Soc., 16(1965),<br />
522-523. { 14.1}<br />
10. , Finite models for laws in two variables, Proc. Amer. Math. Soc., 17(1966),<br />
1410-1412.<br />
11. , A closed set <strong>of</strong> laws which is not generated by a finite set <strong>of</strong> laws, Quart. J. Math.,<br />
(Oxford), (2), 17(1966), 11-13. {9.17,11 }<br />
12. Bacsich, P. D., C<strong>of</strong>inal simplicity and algebraic closedness, Algebra Universalis, 2(1972),<br />
354-360. {17.1 }<br />
13. , The strong amalgamation property, Colloq. Math., 33(1975), 13-23. { 14.6 }<br />
14. __, Amalgamation properties and interpolation theorems for equational theories,<br />
Algebra Universalis, 5(1975), 45-55. {14.6 }<br />
15.* Bacsich, P. D., and D. Rowlands-Hughes, Syntactic characterization <strong>of</strong> amalgamation,<br />
convexity and related properties, J. Symbolic <strong>Logic</strong>, 39(1974), 433-451. { 14.6,14.7 }<br />
16. Baer, R., Group theoretical properties and functions, Colloq. Math., 14(1966),<br />
285-327. { Introduction}<br />
17. Baker, K. A., Finite equational bases for finite algebras in a congruence-distributive equational<br />
class, Advances in Math., 24(1977), 207-243. {9.11}<br />
18. , Primitive satisfaction and equational problems for lattices and other algebras, Trans.<br />
Amer. Math. Soc., 190(1974), 125-150. {15}<br />
19. , <strong>Equational</strong> classes <strong>of</strong> modular lattices, Pacific J. Math., 28(1969), 9-15. { 13.11 }<br />
20. , <strong>Equational</strong> axioms for classes <strong>of</strong> lattices, Bull. Amer. Math. Soc., 71(1971), 97-102.<br />
21. Baker, K. A., and A. F. Pixley, Polynomial interpolation and the Chinese remainder theorem<br />
for algebraic systems, Math. Z., 143(1975), 165-174. {15}<br />
22. Balbes, R., Projectire and injectire distributive lattices, Pacific J. Math., 21(1967),<br />
405-420. {14.9}<br />
23. Baldwin, J. T., A sufficient condition for a variety to have the amalgamation property, Colloq.<br />
Math., 28(1973), 181-183. {14.6}<br />
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