Some Model Theoretic Remarks on Bass Modules

Ehsan Momtahan


We study Bass modules, Bass rings, and related concepts
from a model theoretic point of view. We observe that the class of Bass
modules (over a fixed ring) is not stable under elementary equivalence.
We observe that under which conditions the class of Bass rings are stable
under elementary equivalence


Bass module, Max module, regular module, elementary equivalence, axiomatizability.

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