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- W2109355951 abstract "A simple construction of Boolean algebras with no rigid or homogeneous factors is described. It is shown that for every uncountable cardinal $kappa$ there are ${2^kappa }$ isomorphism types of Boolean algebras of power $kappa$ with no rigid or homogeneous factors. A similar result is obtained for complete Boolean algebras for certain regular cardinals. It is shown that every Boolean algebra can be completely embedded in a complete Boolean algebra with no rigid or homogeneous factors in such a way that the automorphism group of the smaller algebra is a subgroup of the automorphism group of the larger algebra. It turns out that the cardinalities of antichains in both algebras are the same. It is also shown that every $kappa$-distributive complete Boolean algebra can be completely embedded in a $kappa$-distributive complete Boolean algebra with no rigid or homogeneous factors." @default.
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- W2109355951 date "1982-01-01" @default.
- W2109355951 modified "2023-10-17" @default.
- W2109355951 title "Boolean algebras with no rigid or homogeneous factors" @default.
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- W2109355951 doi "https://doi.org/10.1090/s0002-9947-1982-0642333-3" @default.
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