We study determinant functors which are defined on a triangulated category and take values
in a Picard category. The two main results are the existence of a universal determinant …

We study determinant functors which are defined on a triangulated category and take values
in a Picard category. The two main results are the existence of a universal determinant …

A duoidal category is a category equipped with two monoidal structures in which one is (op)
lax monoidal with respect to the other. In this paper we introduce duoidal $\infty $-categories …

In this article, we study the heart of a cotorsion pairs on an exact category and a triangulated
category in a unified method, by means of the notion of an extriangulated category. We …

Let be a triangulated category with shift functor. Suppose is a co-t-structure with coheart and
extended coheart, which is an extriangulated category. We show that there is a bijection …

In this paper, we consider a kind of ideal quotient of an extriangulated category such that the
ideal is the kernel of a functor from this extriangulated category to an abelian category. We …

In this paper, we firstly obtain the analogue of a Bongartz completion for functorially finite
rigid subcategories in an extriangulated category and then we investigate the properties of n …

Abstract In n-Exangulated Categories (I), we introduced the notion of n-exangulated
categories for each positive integer n. It is not only a higher dimensional analogue of …

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 …

In the work of Hoshino, Kato and Miyachi, 11, the authors look at t-structures induced by a
compact object, C, of a triangulated category, T, which is rigid in the sense of Iyama and …