• [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, Bull. Amer. Math. Soc. Abstract 61-4-579 (1955).
• [3] Shizu Enomoto, Boolean algebras and fields of sets, Osaka Math. J. 5 (1953), 99–115. MR 56662
• [4] P. Erdös and A. Tarski, On families of mutually exclusive sets, Ann. of Math. (2) 44 (1943), 315–329. MR 8249, https://doi.org/10.2307/1968767
• [5] Alfred Horn and Alfred Tarski, Measures in Boolean algebras, Trans. Amer. Math. Soc. 64 (1948), 467–497. MR 28922, https://doi.org/10.1090/S0002-9947-1948-0028922-8
• [6] R. S. Pierce, Distributivity in Boolean algebras, Pacific J. Math. 7 (1957), 983–992. MR 89180
• [7] Dana Scott, The independence of certain distributive laws in Boolean algebras, Trans. Amer. Math. Soc. 84 (1957), 258–261. MR 86048, https://doi.org/10.1090/S0002-9947-1957-0086048-7
• [8] Roman Sikorski, On the representation of Boolean algebras as fields of sets, Fund. Math. 35 (1948), 247–258. MR 28374, https://doi.org/10.4064/fm-35-1-247-258
• [9] Edgar C. Smith Jr., A distributivity condition for Boolean algebras, Ann. of Math. (2) 64 (1956), 551–561. MR 86047, https://doi.org/10.2307/1969602
• [10] A Tarski, Ideate in vollständigen Mengenkörpern, part I, Fund. Math. vol. 32 (1939) pp. 45-63; part II, Fund. Math. vol. 33 (1945) pp. 51-65.
• [11] -, Über additive und multiplikative Mengenkörpern und Mengenfunktionen, Comptes rendus des Séances de la Société des Sciences et des Lettres de Varsovie, Classe III, vol. 30 (1937) pp. 151-181.
• [12] -, Sur les classes d'ensembles closes par rapport à certaines opérations élémentaires, Fund. Math. vol. 16 (1930) pp. 181-304.
• [13] Alfred Tarski, Axiomatic and algebraic aspects of two theorems on sums of cardinals, Fund. Math. 35 (1948), 79–104. MR 29955, https://doi.org/10.4064/fm-35-1-79-104
• [14] -, Zur Grundlegung der Boole'schen algebra, Fund. Math. vol. 24 (1935) pp. 177-198.
• [15] -, Cardinal algebras, New York, 1949.
• [16] -, Über unerreichbare Kardinalzahlen, Fund. Math. vol. 30 (1938) pp. 68-89.
• [17] -, Drei Überdeckungssätze der allgemeinen Mengenlehre, Fund. Math. vol. 30 (1938) pp. 132-155.
• [18] S. Ulam, Zur Masstheorie in der allgemeinen Mengenlehre, Fund. Math. vol. 16 (1930) pp. 140-150.

Bibliography

[1]

G. Birkhoff, Lattice theory, Amer. Math. Soc. Colloquium Publications, rev. ed., vol. 25, 1948. MR 0029876 (10:673a)

[2]

C. C. Chang, Bull. Amer. Math. Soc. Abstract 61-4-579 (1955).

[3]

S. Enomoto, Boolean algebras and fields of sets, Osaka Math. J. vol. 5 (1953) pp. 99-115. MR 0056662 (15:108d)

[4]

P. Erdös and A. Tarski, On families of mutually exclusive sets, Ann. of Math. vol. 44 (1943) pp. 315-329. MR 0008249 (4:269b)

[5]

A. Horn and A. Tarski, Measures in Boolean algebras, Trans. Amer. Math. Soc. vol. 64 (1948) pp. 467-497. MR 0028922 (10:518h)

[6]

R. S. Pierce, Distributivity in Boolean algebras, Bull. Amer. Math. Soc. Abstract 62-1-44 (1956). MR 0089180 (19:629b)

[7]

D. Scott, The independence of certain distributive laws in Boolean algebras, Trans. Amer. Math. Soc. vol. 84 (1957) pp. 258-261. MR 0086048 (19:115f)

[8]

R. Sikorski, On the representation of Boolean algebras as fields of sets, Fund. Math. vol. 35 (1948) pp. 247-258. MR 0028374 (10:437b)

[9]

E. C. Smith, Jr., A distributivity condition for Boolean algebras, Ann. of Math. vol. 64 (1956) pp. 551-561. MR 0086047 (19:115e)

[10]

A Tarski, Ideate in vollständigen Mengenkörpern, part I, Fund. Math. vol. 32 (1939) pp. 45-63; part II, Fund. Math. vol. 33 (1945) pp. 51-65.

[11]

-, Über additive und multiplikative Mengenkörpern und Mengenfunktionen, Comptes rendus des Séances de la Société des Sciences et des Lettres de Varsovie, Classe III, vol. 30 (1937) pp. 151-181.

[12]

-, Sur les classes d'ensembles closes par rapport à certaines opérations élémentaires, Fund. Math. vol. 16 (1930) pp. 181-304.

[13]

-, Axiomatic and algebraic aspects of two theorems on sums of cardinals, Fund. Math. vol. 35 (1948) pp. 79-104. MR 0029955 (10:687a)

[14]

-, Zur Grundlegung der Boole'schen algebra, Fund. Math. vol. 24 (1935) pp. 177-198.

[15]

-, Cardinal algebras, New York, 1949.

[16]

-, Über unerreichbare Kardinalzahlen, Fund. Math. vol. 30 (1938) pp. 68-89.

[17]

-, Drei Überdeckungssätze der allgemeinen Mengenlehre, Fund. Math. vol. 30 (1938) pp. 132-155.

[18]

S. Ulam, Zur Masstheorie in der allgemeinen Mengenlehre, Fund. Math. vol. 16 (1930) pp. 140-150.