On the representation of $\alpha$-complete Boolean algebras
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- by C. C. Chang PDF
- Trans. Amer. Math. Soc. 85 (1957), 208-218 Request permission
References
- Garrett Birkhoff, Lattice Theory, Revised edition, American Mathematical Society Colloquium Publications, Vol. 25, American Mathematical Society, New York, N. Y., 1948. MR 0029876 C. C. Chang, A necessary and sufficient condition for an $\alpha$-complete Boolean algebra to be an $\alpha$-homomorphic image of an $\alpha$-complete field of sets, Bull. Amer. Math. Soc. Abstract 61-4-579.
- L. H. Loomis, On the representation of $\sigma$-complete Boolean algebras, Bull. Amer. Math Soc. 53 (1947), 757–760. MR 0021084, DOI 10.1090/S0002-9904-1947-08866-2 D. Scott and A. Tarski, Metamathematical proofs of some Boolean representation theorems, in preparation.
- Roman Sikorski, On the representation of Boolean algebras as fields of sets, Fund. Math. 35 (1948), 247–258. MR 28374, DOI 10.4064/fm-35-1-247-258
- Edgar C. Smith Jr., A distributivity condition for Boolean algebras, Ann. of Math. (2) 64 (1956), 551–561. MR 86047, DOI 10.2307/1969602
- M. H. Stone, The theory of representations for Boolean algebras, Trans. Amer. Math. Soc. 40 (1936), no. 1, 37–111. MR 1501865, DOI 10.1090/S0002-9947-1936-1501865-8
Additional Information
- © Copyright 1957 American Mathematical Society
- 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