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What is Torsion Theory in Module Classes about?

This document introduces and studies new concepts of -singular and non- -singular modules relative to a hereditary torsion theory . -Singular modules are defined as a torsion-theoretic generalization of singular modules. Some properties of -singular and non- -singular modules are investigated, including characterizing -semisimple rings via non- -singular modules. The torsion theory generated by -singular modules is also studied.

Author

Seçil Çeken

Language

EN