Algebraic logic, I. Monadic boolean algebras

Paul R. Halmos

Compositio Mathematica (1954-1956)

  • Volume: 12, page 217-249
  • ISSN: 0010-437X

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Halmos, Paul R.. "Algebraic logic, I. Monadic boolean algebras." Compositio Mathematica 12 (1954-1956): 217-249. <http://eudml.org/doc/88816>.

@article{Halmos1954-1956,
author = {Halmos, Paul R.},
journal = {Compositio Mathematica},
keywords = {philosophy and foundations of mathematics},
language = {eng},
pages = {217-249},
publisher = {Kraus Reprint},
title = {Algebraic logic, I. Monadic boolean algebras},
url = {http://eudml.org/doc/88816},
volume = {12},
year = {1954-1956},
}

TY - JOUR
AU - Halmos, Paul R.
TI - Algebraic logic, I. Monadic boolean algebras
JO - Compositio Mathematica
PY - 1954-1956
PB - Kraus Reprint
VL - 12
SP - 217
EP - 249
LA - eng
KW - philosophy and foundations of mathematics
UR - http://eudml.org/doc/88816
ER -

References

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  1. R.F. Arens and I. Kaplansky [1] Topological representations of algebras, Trans. Amer. Math. Soc., 63 (1948) 457—481. Zbl0032.00702
  2. G. Birkhoff [2] Lattice theory, New York, 1948; p. 91. Zbl0033.10103MR29876
  3. P.R. Halmos [3] Polyadic Boolean algebras, Proc. Nat. Acad. Sci., U.S.A., 40 (1954) 296-301. Zbl0056.00903MR61077
  4. B. Jónsson and A. Tarski [4] Boolean algebras with operators, Amer. J. Math., 73 (1951) 891-939. Zbl0045.31505MR44502
  5. J.C.C. Mckinsey and A. Tarski [5] The algebra of topology, Ann. Math., 45 (1944) 141-191. Zbl0060.06206MR9842
  6. R. Sikorski [6] A theorem on extension of homomorphisms, Ann. Soc. Polon. Math., 21 (1948) 332—335. Zbl0037.01902
  7. M.H. Stone [7] The theory of representations for Boolean algebras, Trans. Amer. Math. Soc., 40 (1936) 37—111. Zbl0014.34002JFM62.0033.04
  8. M.H. Stone [8] Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc., 41 (1937) 321—364. Zbl0017.13502JFM63.1173.01
  9. A. Tarski and F.B. Thompson [9] Some general properties of cylindric algebras, Bull. Amer. Math. Soc., 58 (1952) 65. 

Citations in EuDML Documents

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  1. Marie-Paule Brameret, Sur les Baer-demi-groupes
  2. Giuliano Mazzanti, Massimo Mirolli, Löb operators and interior operators
  3. Pierre F. Jurie, Anneaux monadiques libres. Hémimorphismes unitaires libres
  4. H. Priestley, Natural dualities for varieties of distributive lattices with a quantifier
  5. M. Guillaume, Sur quelques notions concernant les anneaux hilbertiens de la logique algébrique
  6. Piero Mangani, Alcune osservazioni sulle algebre monadiche.
  7. Abad Manuel, Cimadamore Cecilia, Díaz Varela José, Topological representation for monadic implication algebras
  8. Sergey A. Solovyov, On monadic quantale algebras: basic properties and representation theorems
  9. A. V. Figallo, Claudia A. Sanza, Monadic n × m -valued Łukasiewicz-Moisil algebras
  10. A. V. Figallo, Claudia A. Sanza, Alicia Ziliani, Functional monadic n -valued Łukasiewicz algebras

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