A functorial approach to monomorphism categories for species I

N Gao, J Külshammer, S Kvamme… - Communications in …, 2022 - World Scientific
We introduce a very general extension of the monomorphism category as studied by Ringel
and Schmidmeier which in particular covers generalized species over locally bounded …

Gorenstein projective objects in functor categories

S Kvamme - Nagoya Mathematical Journal, 2020 - cambridge.org
Let $ k $ be a commutative ring, let ${\mathcal {C}} $ be a small, $ k $-linear, Hom-finite,
locally bounded category, and let ${\mathcal {B}} $ be a $ k $-linear abelian category. We …

[HTML][HTML] Triangulated subcategories of extensions, stable t-structures, and triangles of recollements

P Jørgensen, K Kato - Journal of Pure and Applied Algebra, 2015 - Elsevier
In a triangulated category T with a pair of triangulated subcategories X and Y, one may
consider the subcategory of extensions X⁎ Y. We give conditions for X⁎ Y to be triangulated …

On the Gorenstein defect categories

J Asadollahi, T Dehghanpour, R Hafezi - 2020 - projecteuclid.org
The main theme of this paper is to study different “Gorenstein defect categories” and their
connections. This is done by studying rings for which 𝕂 ac (Prj-R)= 𝕂 tac (Prj-R), that is, rings …

[PDF][PDF] Triangulated subcategories of extensions and triangles of recollements

P JØRGENSEN, K KATO - arXiv preprint arXiv:1201.2499, 2012 - Citeseer
arXiv:1201.2499v2 [math.RT] 27 Nov 2012 Page 1 arXiv:1201.2499v2 [math.RT] 27 Nov
2012 TRIANGULATED SUBCATEGORIES OF EXTENSIONS AND TRIANGLES OF …

[PDF][PDF] TRIANGULATED SUBCATEGORIES OF EXTENSIONS AND TRIANGLES OF RECOLLEMENTS

K KATO - on Ring Theory and Representation Theory, 2014 - ring-theory-japan.com
TRIANGULATED SUBCATEGORIES OF EXTENSIONS AND TRIANGLES OF RECOLLEMENTS
Page 99 TRIANGULATED SUBCATEGORIES OF EXTENSIONS AND TRIANGLES OF …

[引用][C] TRIANGULATED CATEGORIES OF EXTENSIONS AND THE SECOND ISOMORPHISM THEOREM FOR TRIANGULATED CATEGORIES

P JØRGENSEN, K KATO