Literature cited
K. Kuratowski, “Sur l'operation Ā d'analysis situs,” Fund. Math.,3, 182–199 (1922).
K. Kuratowski and A. Mostowski, Set Theory, North Holland Publishing Co., Amsterdam (1968).
M. Zarits'kii (M. Zarycki), “Allgemeine Eigenschaften der Cantorschen Kohärenzen,” Trans. Amer. Math. Soc.,30, 498–506 (1928).
M. Zarits'kii, “Derivation and coherence of abstract sets” [in Ukrainian], Zbirnik Matem. — Prirodo-pisno—Likars'koi Sektsii Naukovogo Tovaristva,27, L'vov (1928).
M. O. Zarits'kii, “The role of cardinality in the notion of the derivation of a set in abstract spaces” [in Ukrainian], Naukovi Zap. L'vivs'kogo Universitetu, Ser. Fiz. — Matem,5, No. 1 (1947).
M. O. Zarits'kii, “On an operation in the theory of points sets” [Ukrainian], L'vivs'-Ser. Fiz.—Matem.,12, No. 3 (1949).
kogo Universitetu, Ser. Fiz. —Matem.,12, No. 3, (1949).
M. O. Zarits'kii, “Boolean algebras with a closure and Boolean algebras with a derivation” [in Ukrainian], Doklady Akad. Nauk URSR, No. 1 (1955).
W. Sierpinski, “La notion de dérivée comme base d'ure théorie des ensembles abstraits,” Math. Ann.,97, 321–337 (1927).
S. T. Sanders, “Derived sets and their complements,” Bull. Amer. Math. Soc.,42, 577–584 (1936).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 26, No. 4, pp. 444–449, July–August, 1974.
In conclusion, I thank I. V. Ostrovskii for useful remarks.
Rights and permissions
About this article
Cite this article
Gol'dberg, A.A. On Boolean algebras with a derivation. Ukr Math J 26, 365–369 (1974). https://doi.org/10.1007/BF01085609
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01085609