O. Iyama

activity

20022024

most citedMutation in triangulated categories and rigid Cohen-Macaulay modules

324 citations · 2k across the 71 of their papers we have counts for

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3 papers · 1 filter

math.CT2018

Auslander--Reiten theory in extriangulated categories

Osamu Iyama, Hiroyuki Nakaoka, Yann Palu

The notion of an extriangulated category gives a unification of existing theories in exact or abelian categories and in triangulated categories. In this article, we develop Ausland…

math.CT2016★ 5 cited

Polygon of recollements and $N$ -complexes

Osamu Iyama, Kiriko Kato, Jun-ichi Miyachi

We study a structure of subcategories which are called a polygon of recollements in a triangulated category. First, we study a $2 n$ -gon of recollements in an $(m / n)$ -Calabi-Yau tri…

math.CT2013★ 19 cited

Derived categories of $N$ -complexes

Osamu Iyama, Kiriko Kato, Jun-ichi Miyachi

We study the homotopy category $K_{N} (B)$ of $N$ -complexes of an additive category $B$ and the derived category $D_{N} (A)$ of an abe…

Auslander--Reiten theory in extriangulated categories

Polygon of recollements and N-complexes

Derived categories of N-complexes

Polygon of recollements and $N$ -complexes

Derived categories of $N$ -complexes