期刊： APPLIED CATEGORICAL STRUCTURES, ; ()
The topic of this paper is a generalization of Tannaka duality to coclosed categories. As an application we prove reconstruction theorems for coalgebr......
期刊： APPLIED CATEGORICAL STRUCTURES, 2020; 28 (4)
For a triangulated category T, if C is a cluster-tilting subcategory of T, then the factor category T/C is an abelian category. Under certain conditio......
期刊： APPLIED CATEGORICAL STRUCTURES, 2020; 28 (1)
We introduce integral structure types as a categorical analogue of virtual combinatorial species. Integral structure types then categorify power serie......
期刊： APPLIED CATEGORICAL STRUCTURES, 2019; 27 (2)
Around the year 1988, Joyal and Street established a graphical calculus for monoidal categories, which provides a firm foundation for many exploration......
期刊： APPLIED CATEGORICAL STRUCTURES, 2019; 27 (4)
Let C be a finite projective EI category and k be a field. The singularity category of the category algebra kC is a tensor triangulated category. We c......
期刊： APPLIED CATEGORICAL STRUCTURES, 2018; 26 (4)
In a previous study, the algebraic formulation of the First Fundamental Theorem of Calculus (FFTC) is shown to allow extensions of differential and Ro......
期刊： APPLIED CATEGORICAL STRUCTURES, 2018; 26 (4)
In this paper we characterize when a recollement of compactly generated triangulated categories admits a ladder of some height going either upwards or......
期刊： APPLIED CATEGORICAL STRUCTURES, 2018; 26 (5)
The notion of Scott distance between points and subsets in a metric space, a metric analogy of the Scott topology on an ordered set, is introduced, ma......
期刊： APPLIED CATEGORICAL STRUCTURES, 2017; 25 (6)
This paper is motivated by the observation that the characteristic morphism of an algebra relates to certain smoothness condition closely. We show tha......
期刊： APPLIED CATEGORICAL STRUCTURES, 2017; 25 (4)
For an additive category with a Serre duality and a finite group action, we compute explicitly the Serre duality on the category of equivariant object......
期刊： APPLIED CATEGORICAL STRUCTURES, 2017; 25 (4)
This paper establishes a procedure that splits the operations in any algebraic operad, generalizing previous notions of splitting algebraic structures......
