Congruence lattices of algebras of fixed similarity type. I.
Ralph Freese, William A. Lampe, and Walter Taylor
Source: Pacific J. Math. Volume 82, Number 1
(1979), 59-68.
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Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102785060
Zentralblatt MATH identifier: 0408.06002
Zentralblatt MATH identifier: 0394.06002
Mathematical Reviews number (MathSciNet): MR549832
References
[1] P. Crawley and R. P. Dilworth, Algebraic Theory of Lattices, Prentice-Hall, Engle- wood Cliffs, N. J., 1973.
Zentralblatt MATH: 0494.06001
[2] R. Freese, Congruence lattices of finitely generated modular lattices, Proc. Lattice Theory Conf., Ulm 1975, G. Kalmbach, Editor, 62-70.
Mathematical Reviews (MathSciNet): MR54:12590
Zentralblatt MATH: 0374.06006
[3] G. Gratzer, Universal Algebra, D. Van Nostrand Co., Inc., Princeton, N. J., 1968.
Mathematical Reviews (MathSciNet): MR40:1320
[4] G. Gratzer, Lattice Theory, First concepts and distributive lattices, H. M. Freeman, San Francisco, 1971.
Mathematical Reviews (MathSciNet): MR48:184
Zentralblatt MATH: 0232.06001
[5] G. Gratzer and E. T. Schmidt, On congruences of lattices, Acta Math. Acad. Sci. Hung., 13 (1962), 179-185.
[6] G. Gratzer and E. T. Schmidt, Characterizations of congruence lattices of abstract algebras, Acta Sci. Math. (Szeged), 24 (1963), 34-59.
Mathematical Reviews (MathSciNet): MR27:1391
Zentralblatt MATH: 0117.26101
[7] W. Hanf, Representations of lattices of subalgebras (Preliminary report), Bull. Amer. Math. Soc, 62 (1956), 402.
[8] B. Jnsson, Topics in Universal Algebra, Lecture Notes in Mathematics vol. '250, Springer-Verlag, Berlin, 1972.
Mathematical Reviews (MathSciNet): MR49:10625
Zentralblatt MATH: 0225.08001
[9] B. Jnsson, Varieties of algebras and their congruence varieties, Pros. Int. Congress Math., Vancouver 1974, 315-320.
Mathematical Reviews (MathSciNet): MR55:241
Zentralblatt MATH: 0353.08001
[10] W. A. Lampe, The independence of certain related structuresof a universal algebra I-IV, Alg. Univ., 2 (1972), 99-112, 270-283, 286-295, 296-302.
[11] W. A. Lampe, Notes on the congruence lattices of algebras of finite type, (1975 manu- script).
[12] W. A. Lampe, A note on algebras of fixed similaritytype, Abstract 77T-A120, Notices Amer. Math. Soc, 24 (1977), A-371.
[13] W. A. Lampe, Review of B. Jnsson [9], MR 55 (1978). #241.
[14] P. Pudlak, A new proof of the congruence lattice representationtheorem, Algebra Universalis, 6 (1976),269-275.
Mathematical Reviews (MathSciNet): MR55:2710
Zentralblatt MATH: 0358.08005
[15] E. T. Schmidt, KongruenzrelationenalgebraischerStrukturen,Mathematsche Forschungsberichte, VEB Deutscher Verlag Berlin, 1969, MR 47#136.
Mathematical Reviews (MathSciNet): MR41:136
Zentralblatt MATH: 0198.33301
[16] E. T. Schmidt, Every finite distributivelattic is the congruence lattice of a modular lattice, Algebra Universalis, 4 (1974), 49-57.
Mathematical Reviews (MathSciNet): MR51:296
Zentralblatt MATH: 0298.06013
[17] E. T. Schmidt, Congruence lattices of complemented modular lattices, Proceedings of the colloquium on universal algebra, Esztergom 1977, (to appear).
Mathematical Reviews (MathSciNet): MR85j:06009
Zentralblatt MATH: 0542.06003
[18] W. Taylor, Congruence representationof modular lattices, Abstract 77T-A173, Notices Amer. Math. Soc, 24 (1977), A-420.
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