25 citations · 26 across the 8 of their papers we have counts for
5 papers · 1 filter
Crossed Modules of Algebras as Ideal Maps
Alper Odabaş, Erdal Ulualan
In this work, we explore the close relationship between an ideal map structure S --> End(R) on a homomorphism of commutative k-algebras R --> S and an ideal simplicial algebra stru…
Peiffer Elements in the Moore Complex of a Bisimplicial Group
Ozgun Gurmen Alansal, Erdal Ulualan
In this work, we explain `Peiffer pairings' in the Moore (bi)complex of a bisimplicial group and give their applications for crossed modules and crossed squares.
Quadratic Modules Bifibred Over Nil(2)-Modules
H. Atik, E. Ulualan
In this work, we show that the forgetful functor from the category of Baues's quadratic modules to that of nil(2)-modules is a bifibration.
Homotopical Aspects of Commutative Algebras
Z. Arvasi, E. Ulualan
This article investigates the homotopy theory of simplicial commutative algebras with a view to homological applications.
On Algebraic Models for Homotopy 3-Types
Z. Arvasi, E. Ulualan
We explore the relations among quadratic modules, 2-crossed modules, crossed squares and simplicial groups with Moore complex of length 2.