5 citations · 8 across the 4 of their papers we have counts for
4 papers
General heart construction on a triangulated category (II): Associated cohomological functor
Noriyuki Abe, Hiroyuki Nakaoka
In the preceding part (I) of this paper, we showed that for any torsion pair (i.e., -structure without the shift-closedness) in a triangulated category, there is an associated a…
Abelian categories arising from a maximal -orthogonal subcategory
Hiroyuki Nakaoka
This paper has been withdrawn by the author, since the result was already known.
General heart construction on a triangulated category (I): unifying t-structures and cluster tilting subcategories
Hiroyuki Nakaoka
In the paper of Keller and Reiten, it was shown that the quotient of a triangulated category (with some conditions) by a cluster tilting subcategory becomes an abelian category. Af…
Comparison of the definitions of Abelian 2-categories
Hiroyuki Nakaoka
In the efforts to define a 2-categorical analog of an abelian category, two (or three) notions of "abelian 2-categories" are defined. One is the relatively exact 2-category, and th…