The computational significance of Hausdorff's maximal chain principle
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Publication:2106609
DOI10.1007/978-3-030-51466-2_21OpenAlexW3037614249MaRDI QIDQ2106609
Peter M. Schuster, Daniel Wessel
Publication date: 16 December 2022
Full work available at URL: https://doi.org/10.1007/978-3-030-51466-2_21
maximal chainmaximal idealJacobson radicalaxiom of choiceconstructive set theorymaximal cliqueinductive generationcomputational contentfinite binary treeproof-theoretic conservation
Related Items (4)
The Jacobson radical for an inconsistency predicate ⋮ A universal algorithm for Krull's theorem ⋮ Mathematical logic: proof theory, constructive mathematics. Abstracts from the workshop held November 8--14, 2020 (hybrid meeting) ⋮ Maximal ideals in countable rings, constructively
Cites Work
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- A universal Krull-Lindenbaum theorem
- Handbook of game theory. Vol. 4
- Proving open properties by induction
- The origin of Zorn's lemma
- Some new intuitionistic equivalents of Zorn's Lemma
- Eliminating disjunctions by disjunction elimination
- Dynamic evaluation of integrity and the computational content of Krull's lemma
- The Hahn-Banach theorem by disjunction elimination
- Cut elimination for entailment relations
- Commutative algebra: constructive methods. Finite projective modules. Translated from the French by Tania K. Roblot
- Constructive commutative algebra. Projective modules over polynomial rings and dynamical Gröbner bases
- Making the use of maximal ideals constructive
- Induction in Algebra: a First Case Study
- Induction in Algebra: A First Case Study
- Lindenbaum’s Lemma via Open Induction
- Notes on Set Theory
- Dimension de Heitmann des treillis distributifs et des anneaux commutatifs
- Zorn's lemma and complete Boolean algebras in intuitionistic type theories
- A General Extension Theorem for Directed-Complete Partial Orders
- Syntax for Semantics: Krull’s Maximal Ideal Theorem
- THE JACOBSON RADICAL OF A PROPOSITIONAL THEORY
- Resolving finite indeterminacy
- ELIMINATING DISJUNCTIONS BY DISJUNCTION ELIMINATION
- The Radical and Semi-Simplicity for Arbitrary Rings
- Axiom of choice
- Dynamical method in algebra: Effective Nullstellensätze
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