Weakly minimal modules over integral group rings and over related classes of rings

Abstract

Let R be an associative ring with identity. A (right) R-module M is weakly minimal (hereafter w. m.) if and only if every pp-definable subgroup of M is either finite or of finite index. Notice that this condition is preserved under elementary equivalence. Indeed w. m. modules are just those of U -rank 1, see [14, § 7.2]. Our main interest is: Problem 1.1… (More)
DOI: 10.1002/malq.200410053

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