Abstract
Let Ω be an arbitrary non-empty set and P(Ω) be the aggregate of all its subsets. The class A ⊂ P(Ω) is said to be a Boolean algebra (an algebra), if: (a) Ω ∈ A; (b) A is closed with respect to the operations of union, intersection and complementation; i.e., from A, B ∈ A it follows that A ∪ B ∈ A, AB ∈ A and Ā ∈ A.
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© 1989 Kluwer Academic Publishers
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Stoyanov, J., Mirazchiiski, I., Ignatov, Z., Tanushev, M. (1989). Probability Spaces and Random Variables. In: Exercise Manual in Probability Theory. Mathematics and Its Applications, vol 32. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2927-2_2
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DOI: https://doi.org/10.1007/978-94-009-2927-2_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7818-4
Online ISBN: 978-94-009-2927-2
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