期刊： THEORY AND APPLICATIONS OF CATEGORIES, 2021; 37 ()
We provide a method to construct recollements and ladders of triangulated categories. For a ladder of height n(n >= 2) of triangulated categories w......
期刊： THEORY AND APPLICATIONS OF CATEGORIES, 2020; 35 ()
In contrast to the fact that every completely distributive lattice is necessarily continuous in the sense of Scott, it is shown that complete distribu......
期刊： THEORY AND APPLICATIONS OF CATEGORIES, 2019; 34 ()
In this paper, we introduce the notion of a pre-Lie 2-algebra, which is the categorification of a pre-Lie algebra. We prove that the category of pre-L......
期刊： THEORY AND APPLICATIONS OF CATEGORIES, 2019; 34 ()
Let (C, E, s) be an extriangulated category. We show that certain quotient categories of extriangulated categories are equivalent to module categories......
期刊： THEORY AND APPLICATIONS OF CATEGORIES, 2018; 33 ()
It is well known that a relation phi between sets is regular if, and only if, K phi is completely distributive (cd), where K phi is the complete latti......
期刊： THEORY AND APPLICATIONS OF CATEGORIES, 2017; 32 ( )
In this note, we prove the existence of epsilon <=-injective hulls in the category PoSgr <= of posemigroups and their submultiplicative order-pr......
