On the representation of -complete Boolean algebras

Author:
C. C. Chang

Journal:
Trans. Amer. Math. Soc. **85** (1957), 208-218

MSC:
Primary 06.0X

DOI:
https://doi.org/10.1090/S0002-9947-1957-0086792-1

MathSciNet review:
0086792

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References | Similar Articles | Additional Information

**[1]**G. Birkhoff,*Lattice theory*, Rev. ed., 1948. MR**0029876 (10:673a)****[2]**C. C. Chang,*A necessary and sufficient condition for an*-*complete Boolean algebra to be an*-*homomorphic image of an*-*complete field of sets*, Bull. Amer. Math. Soc. Abstract 61-4-579.**[3]**L. H. Loomis,*On the representation of*-*complete Boolean algebras*, Bull. Amer. Math. Soc. vol. 53 (1947) pp. 757-760. MR**0021084 (9:20b)****[4]**D. Scott and A. Tarski,*Metamathematical proofs of some Boolean representation theorems*, in preparation.**[5]**R. Sikorski,*On the representation of Boolean algebras as fields of sets*, Fund. Math. vol. 35 (1948) pp. 247-258. MR**0028374 (10:437b)****[6]**E. C. Smith, Jr.,*A distributivity condition for Boolean algebras*, Ann. of Math. vol. 64 (1956) pp. 551-561. MR**0086047 (19:115e)****[7]**M. H. Stone,*The theory of representations for Boolean algebras*, Trans. Amer. Math. Soc. vol. 40 (1936) pp. 37-111. MR**1501865**

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DOI:
https://doi.org/10.1090/S0002-9947-1957-0086792-1

Article copyright:
© Copyright 1957
American Mathematical Society