A Schreier type property for modules
Tiberiu Dumitrescu, Mihai Epure
TL;DR
This paper extends the theory of Schreier domains to torsion-free modules over integral domains, broadening the algebraic framework and understanding of these structures.
Contribution
It introduces a Schreier type property for modules, generalizing existing domain theories to a module context.
Findings
Established a Schreier type property for torsion-free modules
Extended the theory of Schreier domains to modules over integral domains
Provided new insights into module structure and properties
Abstract
We extend to torsion-free modules over integral domains the theory of (pre)-Schreier domains initiated by Cohn and Zafrullah.
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Taxonomy
TopicsRings, Modules, and Algebras · Algebraic and Geometric Analysis · Algebraic structures and combinatorial models