Some Model Theoretic Remarks on Bass Modules

Authors

  • Ehsan Momtahan

DOI:

https://doi.org/10.30495/jme.v0i0.85

Keywords:

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

Abstract

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

Author Biography

Ehsan Momtahan

Department of Mathematics Assistant Professor of Mathematics Yasouj University Yasouj, Iran

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Published

2011-05-02

Issue

Section

Vol. 5, No. 2(2), (2011)