Bulletin of the American Mathematical Society

MathSciNet review: 1567729
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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.

Kirby A. Baker, Finite equational bases for finite algebras in a congruence-distributive equational class, Advances in Math. 24 (1977), no. 3, 207–243. MR 447074, DOI 10.1016/0001-8708(77)90056-1

2.

G. Birkhoff, On the structure of abstract algebras, Proc. Cambridge Philos. Soc. 31 (1935), 433-454.

Stanley Burris and Ralph McKenzie, Decidability and Boolean representations, Mem. Amer. Math. Soc. 32 (1981), no. 246, viii+106. MR 617896, DOI 10.1090/memo/0246

Ralph Freese and Ralph McKenzie, Residually small varieties with modular congruence lattices, Trans. Amer. Math. Soc. 264 (1981), no. 2, 419–430. MR 603772, DOI 10.1090/S0002-9947-1981-0603772-9

H. Peter Gumm, Geometrical methods in congruence modular algebras, Mem. Amer. Math. Soc. 45 (1983), no. 286, viii+79. MR 714648, DOI 10.1090/memo/0286

Joachim Hagemann and Christian Herrmann, A concrete ideal multiplication for algebraic systems and its relation to congruence distributivity, Arch. Math. (Basel) 32 (1979), no. 3, 234–245. MR 541622, DOI 10.1007/BF01238496

Bjarni Jónsson, Algebras whose congruence lattices are distributive, Math. Scand. 21 (1967), 110–121 (1968). MR 237402, DOI 10.7146/math.scand.a-10850

Ralph McKenzie, Finite equational bases for congruence modular varieties, Algebra Universalis 24 (1987), no. 3, 224–250. MR 931614, DOI 10.1007/BF01195263

9.

R. McKenzie and M. Valeriote, The structure of decidable locally finite varieties,

Jonathan D. H. Smith, Mal′cev varieties, Lecture Notes in Mathematics, Vol. 554, Springer-Verlag, Berlin-New York, 1976. MR 0432511

Walter Taylor, Some applications of the term condition, Algebra Universalis 14 (1982), no. 1, 11–24. MR 634412, DOI 10.1007/BF02483903

1.

K. A. Baker, Finite equational bases for finite algebras in a congruence distributive equational class, Adv. in Math. 24 (1977), 207-243. MR 0447074

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