[PDF][PDF] Extriangulated categories, Hovey twin cotorsion pairs and model structures
H Nakaoka, Y Palu - Cah. Topol. Géom. Différ. Catég, 2019 - cahierstgdc.com
We give a simultaneous generalization of exact categories and triangulated categories,
which is suitable for considering cotorsion pairs, and which we call extriangulated …
which is suitable for considering cotorsion pairs, and which we call extriangulated …
Mutation via Hovey twin cotorsion pairs and model structures in extriangulated categories
H Nakaoka, Y Palu - arXiv preprint arXiv:1605.05607, 2016 - arxiv.org
We give a simultaneous generalization of exact categories and triangulated categories,
which is suitable for considering cotorsion pairs, and which we call extriangulated …
which is suitable for considering cotorsion pairs, and which we call extriangulated …
A simultaneous generalization of mutation and recollement of cotorsion pairs on a triangulated category
H Nakaoka - Applied Categorical Structures, 2018 - Springer
In this article, we introduce the notion of concentric twin cotorsion pair on a triangulated
category. This notion contains the notions of t-structure, cluster tilting subcategory, co-t …
category. This notion contains the notions of t-structure, cluster tilting subcategory, co-t …
Localizations of the hearts of cotorsion pairs
Y Liu - Glasgow Mathematical Journal, 2020 - cambridge.org
In this article, we study localizations of hearts of cotorsion pairs (is rigid on an extriangulated
category. The hearts of such cotorsion pairs are equivalent to the functor categories over the …
category. The hearts of such cotorsion pairs are equivalent to the functor categories over the …
A simultaneous generalization of mutation and recollement on a triangulated category
H Nakaoka - arXiv preprint arXiv:1512.02173, 2015 - arxiv.org
In this article, we introduce the notion of {\it concentric twin cotorsion pair} on a triangulated
category. This notion contains the notions of $ t $-structure, cluster tilting subcategory, co-$ t …
category. This notion contains the notions of $ t $-structure, cluster tilting subcategory, co-$ t …
[PDF][PDF] COTORSION PAIRS ON TRIANGULATED AND EXACT CATEGORIES
YU LIU - on Ring Theory and Representation Theory, 2016 - ring-theory-japan.com
COTORSION PAIRS ON TRIANGULATED AND EXACT CATEGORIES Page 94 COTORSION
PAIRS ON TRIANGULATED AND EXACT CATEGORIES YU LIU Abstract. We study hearts of …
PAIRS ON TRIANGULATED AND EXACT CATEGORIES YU LIU Abstract. We study hearts of …