S. Sadeghi

collaborators

4 papers

math.RT2020

Higher Ideal Approximation Theory

Javad Asadollahi, Somayeh Sadeghi

Let $C$ be an $n$ -cluster tilting subcategory of an exact category $(A, E)$ , where $n \geq 1$ 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 $n$ -cotorsion clas…

math.RT2020

On the Monomorphism Category of $n$ -Cluster Tilting Subcategories

Javad Asadollahi, Rasool Hafezi, Somayeh Sadeghi

Let $M$ be an $n$ -cluster tilting subcategory of ${\rm mod}\mbox{-}Λ$, where $Λ$ is an artin algebra. Let $S (M)$ denotes the full subcategory of $\mat…

math.RT2019

$n Z$ -Gorenstein cluster tilting subcategories

Javad Asadollahi, Rasool Hafezi, Somayeh Sadeghi

Let $Λ$ be an artin algebra. In this paper, the notion of $n Z$ -Gorenstein cluster tilting subcategories will be introduced. It is shown that every $n Z$ -cluster ti…

Higher Ideal Approximation Theory

Cotorsion Classes in Higher Homological Algebra

On the Monomorphism Category of n-Cluster Tilting Subcategories

nZ-Gorenstein cluster tilting subcategories

On the Monomorphism Category of $n$ -Cluster Tilting Subcategories

$n Z$ -Gorenstein cluster tilting subcategories