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Valuation topologies and the approximation theorem
Valued vector spaces
Projective Hjelmslev spaces
3 other sections not shown
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a e k Algebra Applying assume automorphism Banach Spaces bijection bounded called Choose compatible completely prime ideal conjugate consider containing Conversely COROLLARY corresponding defined definition denote dimension Edited element equivalent exercise exists extension field filter follows formula fractional function Further Geometry given hence holds homomorphism images implies inclusion induced integer intersection invariant valuation lattice left ideal lines locally invariant mapping Math maximal ideal minimal non-zero norm normal basis normally independent obtain Obviously Operators Pi(I points Proceedings PROOF proper PROPOSITION prove rational relation residue class respect right ideal shown subgroup subset subspace Suppose THEOREM Theory topology totally ordered unique unit V-valuation valid valuation ring value group value set valued vector space