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math.RT2022★ 3 cited
-Extension closed subcategories of -exangulated categories
Carlo Klapproth
Let be a positive integer. We show that an -extension closed subcategory of an -exangulated category naturally inherits an -exangulated structure through restriction o…
math.CT2022★ 3 cited
Idempotent completions of -exangulated categories
Carlo Klapproth, Dixy Msapato, Amit Shah
Suppose is an -exangulated category. We show that the idempotent completion and the weak idempotent completion of are again…
math.RT2022
When does the Auslander-Reiten translation operate linearly on the Grothendieck group? -- Part I
Carlo Klapproth
For a hereditary, finite-dimensional algebra the Coxeter transformation extends the action of the Auslander--Reiten translation on the non-projective indecomposable modules to…