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Under some strong cograde conditions, we obtain two different filtrations of modules in terms of the properties of cotransposes of modules with respect to a semidualizing bimodule. Then we apply… Click to show full abstract
Under some strong cograde conditions, we obtain two different filtrations of modules in terms of the properties of cotransposes of modules with respect to a semidualizing bimodule. Then we apply these two filtrations of modules to investigate the relationship between artin algebras satisfying the Auslander condition and Gorenstein algebras, which is related to a conjecture of Auslander and Reiten.
Keywords:
modules applications;
results modules;
condition;
filtration results;
two filtration;
auslander condition
Journal Title: Colloquium Mathematicum
Year Published: 2019
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Journal Title: Colloquium Mathematicum
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!