## Research Paper, Issues 601-620University of Calgary, Department of Mathematics and Statistics, 1985 - Mathematics |

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Alberta algebraic number field algorithm assume base 2 exponential block Brauer group CALGARY Department Canada cardinal cf(A chain Chowla class numbers cofinal commutative ring contradiction Corollary define definition denote Department of Mathematics divides elements equipartition of energy example exponential functions f.g quasi-projective finite follows fundamental unit Hasse Hence hypothesis imaginary quadratic immediate consequence implies in-degree independent covering set infinite K-dim Krull dimension lambda-points Lemma l.l M-cotorsionless submodule matchable Math Mathematics and Statistics matrix matroid maximal module nf(k nl(k noetherian nontrivial number field Number Theory Numbers of Real out-degree partially ordered set Poisson algebra polynomial positive integer powerful numbers problem Proof prove R-mod R-module ramified Real Quadratic Fields resp result satisfying selfadjoint semiperfect singular solution solution-points solvable square-free integer STATISTICS THE UNIVERSITY strong antichain Suppose tall Theorem l.l UNIVERSITY OF CALGARY vertex whence X+Y-XY Yokoi