Marczewski-Burstin representations of Boolean algebras isomorphic to a power set

• Autorzy: Bartoszewicz A.

Identyfikatory

DOI

10.4064/ba53-3-1

• Języki publikacji: EN

Abstrakty

EN

The paper contains some sufficient conditions for Marczewski-Burstin representability of an algebra A of sets which is isomorphic to P(X) for some X. We characterize those algebras of sets which are inner MB-representable and isomorphic to a power set. We consider connections between inner MB-representability and hull property of an algebra isomorphic to P(X) and completeness of an associated quotient algebra. An example of an infinite universally MB-representable algebra is given.

Słowa kluczowe

EN

Boolean algebra; power set; MB-representation; isomorphism of algebras

PL

algebra Boole'a; zbiór potęgowy; izomorfizm algebraiczny

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: Vol. 53, no 3
• Strony: 239--250
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Bartoszewicz A.

• Institute of Mathematics, Łódź Technical University, Wólczańska 215, I-2 93-005 Łódź, Poland,

Bibliografia

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