Book Review

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Book Information:

Authors: Ralph Freese and Ralph McKenzie

Title: Commutator theory for congruence modular varieties

Additional book information: London Mathematical Society Lecture Notes, vol. 125, Cambridge University Press, Cambridge, New York and Melbourne, 1987, 227 pp., $27.95. ISBN 0-521-34832-3.

**1.**K. A. Baker,*Finite equational bases for finite algebras in a congruence distributive equational class*, Adv. in Math. 24 (1977), 207-243. MR**447074****2.**G. Birkhoff,*On the structure of abstract algebras*, Proc. Cambridge Philos. Soc. 31 (1935), 433-454.**3.**S. Burris and R. McKenzie,*Decidability and Boolean representations*, Mem. Amer. Math. Soc. vol. 32, no. 246, 1981. MR**617896****4.**R. Freese and R. McKenzie,*Residually small varieties with modular congruence lattices*, Transl. Amer. Math. Soc. 264 (1981), 419-430. MR**603772****5.**H. -P. Gumm,*Geometrical methods in congruence modular algebras*, Mem. Amer. Math. Soc., vol. 45, no. 286, 1983. MR**714648****6.**J. Hagemann and C. Herrmann,*A concrete ideal multiplication for algebraic systems and its relation to congruence distributivity*, Arch. Math. (Basel) 32 (1979), 234-245. MR**541622****7.**B. Jónsson,*Algebras whose congruence lattices are distributive*, Math. Scand. 21 (1967), 110-121. MR**237402****8.**R. McKenzie,*Finite equational bases for congruence modular varieties*, Algebra Universalis 24 (1987), 224-251. MR**931614****9.**R. McKenzie and M. Valeriote,*The structure of decidable locally finite varieties*,**10.**J. D. H. Smith,*Mal'cev varieties*, Lecture Notes in Math., vol. 554, Springer-Verlag, Berlin and New York, 1976. MR**432511****11.**W. Taylor,*Some applications of the term condition*, Algebra Universalis 14 (1982), 11-24. MR**634412**

Review Information:

Reviewer: Stanley Burris

Journal: Bull. Amer. Math. Soc.

**20**(1989), 94-96

DOI: https://doi.org/10.1090/S0273-0979-1989-15710-8