New results on \(C_{11}\) and \(C_{12}\) lattices with applications to Grothendieck categories and torsion theories (Q335359)
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scientific article; zbMATH DE number 6646878
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New results on \(C_{11}\) and \(C_{12}\) lattices with applications to Grothendieck categories and torsion theories |
scientific article; zbMATH DE number 6646878 |
Statements
New results on \(C_{11}\) and \(C_{12}\) lattices with applications to Grothendieck categories and torsion theories (English)
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2 November 2016
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In the paper, the authors investigate the lattice counterparts to some results about modules satisfying the conditions \((C_{11})\) or \((C_{12})\). They illustrate a general strategy which consists of putting a module-theoretical definition/result into a lattice frame, in order to translate that definition/result to Grothendieck categories and to module categories equipped with a torsion theory.
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modular lattice
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upper continuous lattice
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uniform lattice
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Goldie dimension
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socle, Grothendieck category
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torsion theory
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