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Definable Valuations Induced by Definable Subgroupsble) subgroups of the field. The aim of this paper, based on the author’s PhD thesis (Dupont, PhD thesis, University of Konstanz, 2015), is to look at the methods used in Koenigsmann (Definable Valuations, 1994) in greater detail and Koenigsmann (Definable Henselian Valuations, J. Symb. Log. 80(01):85–99, 2015).
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Countable 1-Transitive Treeson point), so a major part of what we do here is to describe a large class of countable . lower 1-transitive linear orders and go on to use this to complete the description of all countable 1-transitive trees. This final stage involves analyzing how the possible coloured branches can fit together, w
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The Jacobson Radical’s Role in Isomorphism Theorems for ,-Adic Modules Extends to Topological Isomorsomorphism theorems and Jacobson radical isomorphism theorems extend to the topological setting. The main result is that the class of reduced modules over a complete discrete valuation domain which contain an unbounded torsion submodule and are divisible modulo torsion satisfy a topological Jacobson
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