Algebraic logic, I. Monadic boolean algebras

Paul R. Halmos

Compositio Mathematica (1954-1956)

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

How to cite


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

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 = {},
volume = {12},
year = {1954-1956},

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 -
ER -


  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

  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. Manuel Abad, Cecilia Cimadamore, José Díaz Varela, Topological representation for monadic implication algebras
  6. M. Guillaume, Sur quelques notions concernant les anneaux hilbertiens de la logique algébrique
  7. Piero Mangani, Alcune osservazioni sulle algebre monadiche.
  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

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.