Essential properties of pro-objects in Grothendieck categories
Timothy Porter (1979)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Similarity:
Timothy Porter (1979)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Similarity:
J. L. García, M. Saorín (1988)
Extracta Mathematicae
Similarity:
Năstăsescu, C., Torrecillas, B. (2003)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Gentle, Ron (1997)
Mathematica Pannonica
Similarity:
Alain H. M. J. Verschoren (1980)
Czechoslovak Mathematical Journal
Similarity:
Hiller, Howard (1977)
Portugaliae mathematica
Similarity:
Jichun Liu, Longgang Sun (2014)
Czechoslovak Mathematical Journal
Similarity:
A pretriangulated category is an additive category with left and right triangulations such that these two triangulations are compatible. In this paper, we first show that the idempotent completion of a left triangulated category admits a unique structure of left triangulated category and dually this is true for a right triangulated category. We then prove that the idempotent completion of a pretriangulated category has a natural structure of pretriangulated category. As an application,...
David Pauksztello (2008)
Open Mathematics
Similarity:
In the work of Hoshino, Kato and Miyachi, [11], the authors look at t-structures induced by a compact object, , of a triangulated category, , which is rigid in the sense of Iyama and Yoshino, [12]. Hoshino, Kato and Miyachi show that such an object yields a non-degenerate t-structure on whose heart is equivalent to Mod(End( )op). Rigid objects in a triangulated category can the thought of as behaving like chain differential graded algebras (DGAs). Analogously, looking at objects...