Decomposition of torsion pairs on module categories
Copyright policy )Decomposition of torsion pairs on module categories
In this article, we generalize the concept of torsion pairs and study its structure. As a trial of obtaining all torsion pairs, we decompose torsion pairs by projective modules and injective modules. Then we calculate torsion pairs on the algebra KAn and tub categories. At last we try to find all torsion pairs on the module categories of finite dimensional hereditary algebras.
- Shanghai Jiao Tong University China (People's Republic of)
projective modules, chains of torsion classes, injective modules, Torsion theories, radicals, torsion tuples, Derived categories, triangulated categories, torsion pairs, Module categories in associative algebras, FOS: Mathematics, Torsion theories; radicals on module categories (associative algebraic aspects), tube categories, hereditary algebras, Representation Theory (math.RT), Mathematics - Representation Theory, Representations of associative Artinian rings, regular modules
projective modules, chains of torsion classes, injective modules, Torsion theories, radicals, torsion tuples, Derived categories, triangulated categories, torsion pairs, Module categories in associative algebras, FOS: Mathematics, Torsion theories; radicals on module categories (associative algebraic aspects), tube categories, hereditary algebras, Representation Theory (math.RT), Mathematics - Representation Theory, Representations of associative Artinian rings, regular modules
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