7 citations · 13 across the 22 of their papers we have counts for
27 papers
Transfer theory for noetherian forms
Kishan Dayaram, Zurab Janelidze, Francois van Niekerk
A noetherian form over a category enables one to formulate and prove homomorphism theorems in that category, such as the isomorphism theorems and the diagram lemmas of homological…
Grothendieck Topologies Are Extensional Presentations of the Form of Sieves
Roy Ferguson, Zurab Janelidze
A Grothendieck topology on a category determines both a subform of covering sieves and a quotient form obtained by identifying locally equivalent sieves. We place these two constru…
Noetherian forms of free non-symmetric operads
Zurab Janelidze
In this paper, we study certain categories of labeled finite rooted ordered trees over a fixed set of labels where each label is equipped with an arity: a fixed number of children…
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…
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…