Boolean Algebras without Nontrivial Onto Endomorphisms Exist in Every Uncountable Cardinality

DOI10.2307/2042804zbMath0401.06007OpenAlexW4249735392MaRDI QIDQ4184883

Matatyahu Rubin, James T. Loats

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2042804

zbMATH Keywords

Boolean Algebras Without Nontrivial Into EndomorphismsEmbedding Distributive Lattices in Boolean Algebras

Mathematics Subject Classification ID

Large cardinals (03E55) Stone spaces (Boolean spaces) and related structures (06E15) Structure theory of Boolean algebras (06E05)

Related Items (8)

Comparison of Boolean algebras ⋮ Stiff algebras ⋮ The existence of rigid measurable spaces ⋮ A very rigid Boolean algebra ⋮ Some questions about Boolean algebras ⋮ Some Universal Sets of Terms ⋮ Hopfian Boolean Algebras of Power Less than or Equal to Continuum ⋮ Endomorphisms and homomorphisms of Heyting algebras

Cites Work

• Unnamed Item
• Very strongly rigid Boolean algebras, continuum discrete set condition, countable antichain condition. I
• On the automorphism groups of denumerable Boolean algebras
• Some Remarks on Automorphisms in Boolean Algebras

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