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Identities in two-valued calculi
Author:
R. C. Lyndon
Journal:
Trans. Amer. Math. Soc. 71 (1951), 457-465
MSC:
Primary 02.0X
MathSciNet review:
0044470
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
- [1]
A.
S. Amitsur and J.
Levitzki, Minimal identities for
algebras, Proc. Amer. Math. Soc. 1 (1950), 449–463. MR 0036751
(12,155d), http://dx.doi.org/10.1090/S0002-9939-1950-0036751-9
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G. Birkhoff, On the structure of abstract algebras, Proc. Cambridge Philos. Soc. vol. 31 (1935) pp. 433-454.
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-, Lattice theory, Amer. Math. Soc. Colloquium Publications, vol. 25, Rev. ed., New York, 1948.
- [4]
Leon
Henkin, Fragments of the propositional calculus, J. Symbolic
Logic 14 (1949), 42–48. MR 0033780
(11,487c)
- [5]
Roger
C. Lyndon, The representation of relational algebras, Ann. of
Math. (2) 51 (1950), 707–729. MR 0037278
(12,237a)
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A. Malcev, On the embedding of associative systems in groups, Mat. Sbornik N.S. vol. 8 (1940) pp. 251-263.
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B.
H. Neumann, Identical relations in groups. I, Math. Ann.
114 (1937), no. 1, 506–525. MR
1513153, http://dx.doi.org/10.1007/BF01594191
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Emil
L. Post, The Two-Valued Iterative Systems of Mathematical
Logic, Annals of Mathematics Studies, no. 5, Princeton University
Press, Princeton, N. J., 1941. MR 0004195
(2,337a)
- [9]
J.
B. Rosser and A.
R. Turquette, Axiom schemes for 𝑚-valued propositional
calculi, J. Symbolic Logic 10 (1945), 61–82. MR 0013718
(7,185e)
- [10]
Wilhelm
Specht, Gesetze in Ringen. I, Math. Z. 52
(1950), 557–589 (German). MR 0035274
(11,711i)
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M.
H. Stone, The theory of representations for
Boolean algebras, Trans. Amer. Math. Soc.
40 (1936), no. 1,
37–111. MR
1501865, http://dx.doi.org/10.1090/S0002-9947-1936-1501865-8
- [12]
Alfred
Tarski, A remark on functionally free algebras, Ann. of Math.
(2) 47 (1946), 163–165. MR 0015038
(7,360a)
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M.
Wajsberg, Beiträge zum Metaaussagenkalkül I,
Monatsh. Math. Phys. 42 (1935), no. 1, 221–242
(German). MR
1550430, http://dx.doi.org/10.1007/BF01733295
- [1]
- A. S. Amitsur and J. Levitzki, Minimal identities for algebras, Proceedings of the American Mathematical Society vol. 1 (1950) pp. 449-463. MR 0036751 (12:155d)
- [2]
- G. Birkhoff, On the structure of abstract algebras, Proc. Cambridge Philos. Soc. vol. 31 (1935) pp. 433-454.
- [3]
- -, Lattice theory, Amer. Math. Soc. Colloquium Publications, vol. 25, Rev. ed., New York, 1948.
- [4]
- L. Henkin, Fragments of the propositional calculus, The Journal of Symbolic Logic vol. 14 (1949) pp. 42-48. MR 0033780 (11:487c)
- [5]
- R. C. Lyndon, The representation of relational algebras, Ann. of Math. vol. 51 (1950) pp. 707-729. MR 0037278 (12:237a)
- [6]
- A. Malcev, On the embedding of associative systems in groups, Mat. Sbornik N.S. vol. 8 (1940) pp. 251-263.
- [7]
- B. H. Neumann, Identical relations in groups, Math. Ann. vol. 114 (1937) pp. 506-525. MR 1513153
- [8]
- E. Post, Two-valued iterative systems of mathematical logic, Princeton, 1941. MR 0004195 (2:337a)
- [9]
- J. B. Rosser and A. R. Turquette, Axiom schemes for
-valued propositional calculi, The Journal of Symbolic Logic vol. 10 (1945) pp. 61-82. MR 0013718 (7:185e)
- [10]
- W. Specht, Gesetze in Ringen I, Math. Zeit. vol. 52 (1950) pp. 557-589. MR 0035274 (11:711i)
- [11]
- M. H. Stone, The theory of representations for Boolean algebras, Trans. Amer. Math. Soc. vol. 40 (1936) pp. 37-111. MR 1501865
- [12]
- A. Tarski, A remark on functionally free algebras, Ann. of Math. vol. 47 (1946) pp. 163-165. MR 0015038 (7:360a)
- [13]
- M. Wajsberg, Beitrage zum Metaaussagenkalkul I, Monatshefte für Mathematik und Physik vol. 42 (1935) pp. 221-242. MR 1550430
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1951-0044470-3
PII:
S 0002-9947(1951)0044470-3
Article copyright:
© Copyright 1951 American Mathematical Society
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