Abstract

The sentences transferred in the above situations arebest described as almost positive, variables appearing ina negative subfoπnula are quantified in a prescribed manner.The main tools of this investigation are the manipula-tion of classical transfer theorems in the context of com-mutative diagrams, the ultraproduct construction, and the^-limit operation of Chang and Keisler's Continuous ModelTheory.Introduction* Every subgroup of an abelian group is abelian,any extension ring of a ring with zero divisors has zero divisors,and each homomorphic image of a commutative ring is commutativeare instances of classical transfer theorems (Lemma 1). In thispaper transfer theorems are obtained for the following mathematicalsituations:

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