V. Bondarenko and Y. Drozd gives a description of all indecomposable objects in a category
of representations of posets, nowadays known as the Bondarenko's category. This category …

Mapping cones in the bounded derived category of a gentle algebra - ScienceDirect Skip to
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We study semiorthogonal decompositions of bounded derived categories of gentle algebras
and how they are manifested in the geometric model of these categories as constructed by …

This paper provides a short introduction to the notion of regular category and its use in
categorical algebra. We first prove some of its basic properties, and consider some …

We extend results of Br\" ustle-Yang on ideal quotients of 2-term subcategories of perfect
derived categories of non-positive dg algebras to a relative setting. We find a new …

arXiv:1410.4834v1 [math.KT] 17 Oct 2014 Page 1 arXiv:1410.4834v1 [math.KT] 17 Oct 2014
THE CATEGORY OF WALDHAUSEN CATEGORIES IS A CLOSED MULTICATEGORY INNA …

By a multi-pointed category we mean a category C equipped with an ideal of null
morphisms, ie a class N of morphisms satisfying f∈ N∨ g∈ N⇒ fg∈ N for any composable …

We define the twisted tensor product of two enriched categories, which generalizes various
sorts of 'products' of algebraic structures, including the bicrossed product of groups, the …

We construct a natural generalization of the Grothendieck group $\mathrm {K} _0 $ to the
case of possibly unpointed categories admitting pushouts by using the concept of heaps …

Classification problems of subcategories have been deeply considered so far. In this article,
we discuss classifying dense resolving subcategories of exact categories via their …