A notion of mutation of subcategories in a right triangulated category is defined in this article.
When (𝒵, 𝒵) is a 𝒟-mutation pair in a right triangulated category 𝒞, the quotient category 𝒵/𝒟 …

Let CC be an n-angulated category. We prove that its idempotent completion CC~ admits a
unique n-angulated structure such that the canonical functor ι: C → C ι: C→ C~ is n …

Equivalences induced by n-self-cotilting comodules Page 1 Adv. Pure Appl. Math. 2 (2010),
109 – 131 DOI 10.1515/APAM.2010.029 © de Gruyter 2010 Equivalences induced by n-self-cotilting …

Motivated by its links to τ-tilting theory, we introduce left weak cotorsion pairs, as a
generalization of cotorsion pairs in module categories. Such pairs are also linked to co-t …

In this paper we continue the project of generalizing tilting theory to the category of
contravariant functors Mod(C), from a skeletally small preadditive category C to the category …

Tilting Theory for Comodule Categories* Page 1 Southeast Asian Bulletin of Mathematics (2009)
33: 757-767 ö 7y^ . . Bulletin of Mathematics © SEAMS. 2009 Tilting Theory for Comodule …

By means of the ungraded derived category we prove that the orbit category of the bounded
derived category of an iterated tilted algebra with respect to translation is triangulated in …

REPORT ON THE FINITENESS OF SILTING OBJECTS Page 1 Proceedings of the Edinburgh
Mathematical Society (2021) 64, 217–233 doi:10.1017/S0013091521000109 REPORT ON THE …

Twisted arrow $\infty $-categories of $(\infty, 1) $-categories were introduced by Lurie, and
they have various applications in higher category theory. Abell\'{a} n Garc\'{i} a and Stern …