Isomorphisms of sums of countable Boolean algebras

Trnková, Věra

doi:10.1090/S0002-9939-1980-0580990-4

Isomorphisms of sums of countable Boolean algebras
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by Věra Trnková

Proc. Amer. Math. Soc. 80 (1980), 389-392

DOI: https://doi.org/10.1090/S0002-9939-1980-0580990-4

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Abstract:

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

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