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Proceedings of the American Mathematical Society
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Article . 1980
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Proceedings of the American Mathematical Society
Article . 1980 . Peer-reviewed
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Proceedings of the American Mathematical Society
Article . 1980 . Peer-reviewed
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Isomorphisms of Sums of Countable Boolean Algebras

Isomorphisms of sums of countable Boolean algebras
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Nov 1980Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 80, page 389 (issn: 0002-9939, Copyright policy )
Authors: Trnková, Věra;

doi: 10.2307/2043725 , 10.1090/s0002-9939-1980-0580990-4

Isomorphisms of Sums of Countable Boolean Algebras

Abstract

Denote by nA the sum of n copies of a Boolean algebra A. We prove that, for any countable Boolean algebra A , n A ≅ m A A,nA \cong mA with m > n m > n implies n A ≅ ( n + 1 ) A nA \cong (n + 1)A .

Keywords

essential countable Boolean algebra, Structure theory of Boolean algebras, weakly pseudoindecomposable countable Boolean algebra

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Average
Top 10%
Average
bronze