12 citations · 28 across the 16 of their papers we have counts for
18 papers
Quasi-pointed exactness and torsion
Marino Gran, George Janelidze
We show that, under some mild assumptions, every quasi-pointed category C carries a canonical near-torsion theory (T,F), where T consists of the 0-supported objects, that is, those…
Torsion and exactness
Marino Gran, George Janelidze
We give an equivalent definition of a non-pointed torsion theory, also called a pretorsion theory in the literature. This uses a new, more general, notion of a near-torsion theory,…
Effective descent morphisms of filtered preorders
Maria Manuel Clementino, George Janelidze
We characterize effective descent morphisms of what we call filtered preorders, and apply these results to slightly improve a known result, due to the first author and F. Lucatelli…
Strict monadic topology II: descent for closure spaces
George Janelidze, Manuela Sobral
By a closure space we will mean a pair , in which is a set and a set of subsets of closed under arbitrary intersections. The purpose of this…
Ideally exact categories
George Janelidze
The purpose of this paper is to initiate a development of a new non-pointed counterpart of semi-abelian categorical algebra. We are making, however, only the first step in it by gi…
A note on idempotent semirings
George Janelidze, Manuela Sobral
For a commutative semiring S, by an S-algebra we mean a commutative semiring A equipped with a homomorphism from S to A. We show that the subvariety of S-algebras determined by the…