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On Boolean algebras with a derivation

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. K. Kuratowski, “Sur l'operation Ā d'analysis situs,” Fund. Math.,3, 182–199 (1922).

    Google Scholar 

  2. K. Kuratowski and A. Mostowski, Set Theory, North Holland Publishing Co., Amsterdam (1968).

    Google Scholar 

  3. M. Zarits'kii (M. Zarycki), “Allgemeine Eigenschaften der Cantorschen Kohärenzen,” Trans. Amer. Math. Soc.,30, 498–506 (1928).

    Google Scholar 

  4. M. Zarits'kii, “Derivation and coherence of abstract sets” [in Ukrainian], Zbirnik Matem. — Prirodo-pisno—Likars'koi Sektsii Naukovogo Tovaristva,27, L'vov (1928).

  5. 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).

  6. M. O. Zarits'kii, “On an operation in the theory of points sets” [Ukrainian], L'vivs'-Ser. Fiz.—Matem.,12, No. 3 (1949).

  7. kogo Universitetu, Ser. Fiz. —Matem.,12, No. 3, (1949).

  8. M. O. Zarits'kii, “Boolean algebras with a closure and Boolean algebras with a derivation” [in Ukrainian], Doklady Akad. Nauk URSR, No. 1 (1955).

  9. W. Sierpinski, “La notion de dérivée comme base d'ure théorie des ensembles abstraits,” Math. Ann.,97, 321–337 (1927).

    Google Scholar 

  10. S. T. Sanders, “Derived sets and their complements,” Bull. Amer. Math. Soc.,42, 577–584 (1936).

    Google Scholar 

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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.

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Gol'dberg, A.A. On Boolean algebras with a derivation. Ukr Math J 26, 365–369 (1974). https://doi.org/10.1007/BF01085609

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  • DOI: https://doi.org/10.1007/BF01085609

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