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math.RT2020
Higher Ideal Approximation Theory
Javad Asadollahi, Somayeh Sadeghi
Let be an -cluster tilting subcategory of an exact category , where is an integer. It is proved by Jasso that if $n> 1…
math.RT2020
Cotorsion Classes in Higher Homological Algebra
Javad Asadollahi, Azadeh Mehregan, Somayeh Sadeghi
In this note, the notion of cotorsion classes is introduced into the higher homological algebra. Our results motivate the definition, showing that this notion of -cotorsion clas…
math.RT2020
On the Monomorphism Category of -Cluster Tilting Subcategories
Javad Asadollahi, Rasool Hafezi, Somayeh Sadeghi
Let be an -cluster tilting subcategory of ${\rm mod}\mbox{-}Λ$, where is an artin algebra. Let denotes the full subcategory of $\mat…