1 citations · 1 across the 16 of their papers we have counts for
7 papers · 1 filter
A two-categorical Snake Lemma
Elena Caviglia, Luca Mesiti, Tim Van der Linden
We prove a Snake Lemma for 2-categories. Working in a 2-category with a strong bizero object, we develop 2-kernels and 2-cokernels, 2-monomorphisms and 2-epimorphisms as fully fait…
Exactness of the 2-categories of abelian and triangulated categories
Elena Caviglia, Zurab Janelidze, Luca Mesiti +1
We introduce a notion of -homological category modelled on pointed homological categories in the sense of Grandis, using bizero objects whose null -cells are zero objects in…
Clifford semigroups and the monoidal Grothendieck construction
Elena Caviglia, Peter F. Faul, Graham Manuell +1
We show that the monoidal Grothendieck construction can be applied to recover the known structure theorem for Clifford monoids, which states that they correspond to functors from a…
Detecting Essential Ideals in Polynomial Rings
Amartya Goswami, Luca Mesiti
We characterize essential ideals in polynomial rings over a commutative ring with . We present several characterizations, letting vary among notable c…
Generalized action monads and descent
Elena Caviglia, Sophie Marques, Luca Mesiti
We develop a monadic approach to actions of internal categories. Given an internal category, we construct a monad on a slice whose algebras are the actions of that internal categor…
From subtractive ideals of semirings to deductive and inductive sets in general algebras
Elena Caviglia, Amartya Goswami, Zurab Janelidze +2
Kernels of semiring homomorphisms are precisely the subtractive ideals. We extend this decomposition of normality to general algebras by introducing inductive and deductive sets, w…
Comonadic approach to pretorsion theories
Elena Caviglia, Zurab Janelidze, Luca Mesiti
We present a comonadic approach to pretorsion theories on semiexact categories, i.e. categories equipped with a closed ideal of null morphisms that admits all kernels and all coker…