Literature Cited
D. Maharam, “An algebraic characterization of measure algebras,” Ann. Math.,48, No. 1, 154–167, (1947).
B. Z. Vulikh, Introduction to the Theory of Partially Ordered Spaces, Gordan and Breach (1967).
D. A. Vladimirov, Boolean Algebras [in Russian], Nauka, Moscow (1969).
A. G. Poroshkin, “Some properties of weak countable distributivity of lattices,” Sib. Mat. Zh.,19, No. 1, 235 (1978).
N. Dinculeanu, Vector Measures, Berlin (1966).
A. G. Poroshkin, “Two properties of Boolean algebras with a vector measure,” Sib. Mat. Zh.,16, No. 2, 336–346 (1975).
V. A. Popov, “Properties of the π-integral,” Uch. Zap. Leningr. Pedagog. Inst. im. A. I. Gertsena,541, 3–6 (1972).
A. G. Poroshkin and V. N. Isakov, “On integrals with respect to an exterior measure,” in: Set Functions [in Russian], Syktyvkar (1977), pp. 5–16.
A. A. Gol'dberg, “Integrals with respect to semiadditive measures and applications to the theory of entire functions. I,” Mat. Sb.,58, No. 3 288–310 (1962).
G. G. Lorentz, “Multiply subadditive functions,” Can. J. Math.,4, 455–462 (1952).
V. A. Popov, “Existence of additive minorants,” in: Proc. Sixth Komi Republic Youth Conference in the Sciences [in Russian] Syktyvkar (1974), pp. 99–100.
K. Yosida, Functional Analysis, Springer-Verlag, New York.
V. A. Popov, “Additive and semiadditive functions on Boolean algebras,” Sib. Mat. Zh.,17, No. 2, 331–339 (1976).
V. N. Aleksyuk, “A theorem on minorants. Countability of the Maharam problem,” Mat. Zametki,21, No. 5, 597–604 (1977).
Additional information
Syktyvkar State University, Syktyvkar. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 21, No. 4, pp. 216–220, July–August, 1980.
Rights and permissions
About this article
Cite this article
Poroshkin, A.G. Normability of Boolean algebras with a continuous exterior measure. Sib Math J 21, 645–648 (1980). https://doi.org/10.1007/BF00995969
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00995969