On the representation of cardinal algebras by directed sums

Author:
A. Bruce Clarke

Journal:
Trans. Amer. Math. Soc. **91** (1959), 161-192

MSC:
Primary 08.00

DOI:
https://doi.org/10.1090/S0002-9947-1959-0106199-X

MathSciNet review:
0106199

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References | Similar Articles | Additional Information

**[1]**G. Birkhoff,*Generalized arithmetic*, Duke Math. J. vol. 9 (1942) pp. 283-302. MR**0007031 (4:74g)****[2]**A. B. Clarke,*A theorem on simple cardinal algebras*, Michigan Math. J. vol. 3 (1956) pp. 113-116. MR**0076717 (17:934d)****[3]**M. M. Day,*Arithmetic of ordered systems*, Trans. Amer. Math. Soc. vol. 58 (1945) pp. 1-43. MR**0012262 (7:1a)****[4]**A. Tarski,*Cardinal algebras*, New York, Oxford University Press, 1949. MR**0029954 (10:686f)****[5]**-,*Axiomatic and algebraic aspects of two theorems on sums of cardinals*, Fund. Math. vol. 35 (1948) pp. 79-104. MR**0029955 (10:687a)**

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DOI:
https://doi.org/10.1090/S0002-9947-1959-0106199-X

Article copyright:
© Copyright 1959
American Mathematical Society