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Survey 1979: Equational Logic - Department of Mathematics ...

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SUPPLEMENTAL BIBLIOGRAPHY<br />

The following articles are all closely related to one aspect or another <strong>of</strong> our survey. We have<br />

not usually referred explicitly to them, either because they are peripheral, or because they are very<br />

recent, or because they had escaped our notice until the last moment. We thank Bjarni J6nsson who<br />

did much<strong>of</strong> the work in compiling this bibliography.<br />

Admek, J., and J. Reiterman, Fixed-point properties <strong>of</strong> unary algebras, Algebra Universalis,<br />

4(1974), 163-165.<br />

Adjan, S. I., Infinite irreducible systems <strong>of</strong> group identities, (Russian), Dokl. Akad. Nauk SSSR,<br />

190(1970), 499-501.<br />

Aliev, I. Sh., On the minimal variety <strong>of</strong> a symmetric variety, Algebra i Logika, 5(1966), 5-14.<br />

Appel, K. I., Horn sentences in identity theory, J. Symbolic <strong>Logic</strong>, 24(1959), 306-310.<br />

Astrom<strong>of</strong>f, A., Some structure theorems for primal and categorical algebras, Math. Z., 87(1965),<br />

365-377.<br />

Backmuth, S., Mochizuki, H. Y., The class <strong>of</strong> the free metabelian group with exponent p2, Comm.<br />

Pure Appl. Math., 21(1968), 385-399.<br />

Bacsich, P. D., Primality and model completions, Algebra Universalis, 3(1973), 265-270.<br />

Baker, K., <strong>Equational</strong> axioms for classes oœtteyting algebras, Algebra Universalis, 6(1976), 105-120.<br />

Balbes, R., On free pseudo-complemented and relatively pseudo-complemented semi-lattices, Fund.<br />

Math., 78(1973), 119-131.<br />

Balbes, R., and Dwinger, P., Distributive lattices, Univ. <strong>of</strong> Missouri Press, Columbia, 1974.<br />

Banaschewski, B., and Nelson, E., On residual finiteness and finite embeddability, Algebra<br />

Unive rsalis, 2(1972), 361-364.<br />

BaranoviE, T. M., On multi-identities in universal algebras, (Russian), Sibirsk. Math. ., 5(1964),<br />

976-986.<br />

, Free decompositions in the intersection <strong>of</strong> primitive classes <strong>of</strong> algebras, Dokl. Akad. Nauk<br />

SSSR, 155(1964), 727-729, (Russian), Mat. Sb. (N.S.), (109), 67(1965), 135-153.<br />

__, The equivalenee <strong>of</strong> topological spaces and primitive algebra classes, Math. Sb. (N.S.), (98),<br />

56(1962), 129-136.<br />

Bateson, C. A., Interplay between algebra and topology.' groupoids in a variety, Ph.D. Thesis,<br />

Boulder, 1977.<br />

Berman, J., Algebras with modular lattice reducts and simple subdirect irreducibles, Discrete Math.,<br />

11(1975), 1-8.<br />

--, On the congruence lattices <strong>of</strong> unary algebras, Proc. Amer. Math. Soc., 36(1972), 34-38.<br />

:--, Distributive lattices with an additional unary operations, Aequ. Math., 16(1977),<br />

165-171.<br />

Birkh<strong>of</strong>f, G., and J. D. Lipson, Heterogeneous algebras, J. Combinatorial Theory, 8(1970), 115-133.<br />

., Universal algebra and automata, 41-51 in Proc. International Congress <strong>of</strong> Mathematicians,<br />

Vancouver, 1974, Canadian Math. Congress, 1975.<br />

Biryukov, A. P., On infinite sets <strong>of</strong> identities in semigroups, (Russian), Algebra i Logika, 4(1965),<br />

31-32.<br />

., Semigroups defined by identities, Dokl. Akad. Nauk SSSR, 149(1963), 230-232.<br />

., The lattices <strong>of</strong> varieties <strong>of</strong> idempotent semigroups, (Russian), All-Union Coll. on General<br />

Algebra, Riga, (1967), 16-17.<br />

., Varieties <strong>of</strong> idempotent semigroups, Algebra and <strong>Logic</strong>, 9(1970), 153-164.<br />

71

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