On the representation of -complete Boolean algebras

Author:
C. C. Chang

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

MSC:
Primary 06.0X

MathSciNet review:
0086792

Full-text PDF Free Access

References | Similar Articles | Additional Information

**[1]**Garrett Birkhoff,*Lattice Theory*, American Mathematical Society Colloquium Publications, vol. 25, revised edition, American Mathematical Society, New York, N. Y., 1948. MR**0029876****[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 𝜎-complete Boolean algebras*, Bull. Amer. Math Soc.**53**(1947), 757–760. MR**0021084**, 10.1090/S0002-9904-1947-08866-2**[4]**D. Scott and A. Tarski,*Metamathematical proofs of some Boolean representation theorems*, in preparation.**[5]**Roman Sikorski,*On the representation of Boolean algebras as fields of sets*, Fund. Math.**35**(1948), 247–258. MR**0028374****[6]**Edgar C. Smith Jr.,*A distributivity condition for Boolean algebras*, Ann. of Math. (2)**64**(1956), 551–561. MR**0086047****[7]**M. H. Stone,*The theory of representations for Boolean algebras*, Trans. Amer. Math. Soc.**40**(1936), no. 1, 37–111. MR**1501865**, 10.1090/S0002-9947-1936-1501865-8

Retrieve articles in *Transactions of the American Mathematical Society*
with MSC:
06.0X

Retrieve articles in all journals with MSC: 06.0X

Additional Information

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

Article copyright:
© Copyright 1957
American Mathematical Society