Abstract
Again we shall not consider algebraic operations. The main relationships with our earlier functions are: |UltA| ≤ |IdA| and 2sA ≤ |IdA|; both of these facts are obvious. Also recall the deep Theorem 10.10 from Part I of the BA handbook: if A is an infinite BA, then |IdA|ω = |IdA|. Note that |UltA| < |IdA| for A the finite-cofinite algebra on an infinite cardinal κ.
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© 1990 Springer Basel AG
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Monk, J.D. (1990). Number of Ideals. In: Cardinal Functions on Boolean Algebras. Lectures in Mathematics. ETH Zürich. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6381-0_21
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DOI: https://doi.org/10.1007/978-3-0348-6381-0_21
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-2495-7
Online ISBN: 978-3-0348-6381-0
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