4 papers
On Proximity Subgroups of Groups
Kishan Dayaram, Zurab Janelidze, Ronald Kerario
By a of a group we mean a norm on valued in a complete lattice equipped with a binary sum (an additive counterpart of a multiplicative…
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…
Isbell's subfactor projections in a noetherian form
Kishan Dayaram, Amartya Goswami, Zurab Janelidze
In this paper, we revisit the 1979 work of Isbell on subfactors of groups and their projections, which he uses to establish a stronger formulation of the butterfly lemma and its co…
Homological lemmas for (non-abelian) group-like structures by diagram chasing in a self-dual context
Kishan Kumar Dayaram, Amartya Goswami, Zurab Janelidze +2
Through abelian categories, homological lemmas for modules admit a self-dual treatment, where half of the proof of a lemma is sufficient to prove the full lemma. In this paper, we…