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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 />

53

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