C. Klapproth

activity

20212024

n

-exangulated categories

3 citations · 11 across the 7 of their papers we have counts for

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4 papers · 1 filter

math.RT2022★ 3 cited

$n$ -Extension closed subcategories of $n$ -exangulated categories

Carlo Klapproth

Let $n$ be a positive integer. We show that an $n$ -extension closed subcategory of an $n$ -exangulated category naturally inherits an $n$ -exangulated structure through restriction o…

math.RT2022

When does the Auslander-Reiten translation operate linearly on the Grothendieck group? -- Part I

Carlo Klapproth

For a hereditary, finite-dimensional algebra $A$ the Coxeter transformation extends the action of the Auslander--Reiten translation on the non-projective indecomposable modules to…

math.RT2021

A method for constructing minimal projective resolutions over idempotent subrings

Carlo Klapproth

We show how to obtain minimal projective resolutions of finitely generated modules over an idempotent subring $Γ_{e} := (1 - e) R (1 - e)$ of a semiperfect noetherian basic ring $R$ by a c…

math.RT2021★ 3 cited

$n$ -Exact categories arising from $(n + 2)$ -angulated categories

Carlo Klapproth

Let $F$ be an $(n + 2)$ -angulated Krull-Schmidt category and $A \subset F$ an $n$ -extension closed, additive and full subcategory with $\operatorname{Ho…

n-Extension closed subcategories of n-exangulated categories

When does the Auslander-Reiten translation operate linearly on the Grothendieck group? -- Part I

A method for constructing minimal projective resolutions over idempotent subrings

n-Exact categories arising from (n+2)-angulated categories

$n$ -Extension closed subcategories of $n$ -exangulated categories

$n$ -Exact categories arising from $(n + 2)$ -angulated categories