25 citations · 26 across the 8 of their papers we have counts for
8 papers
On Regular Representation of 2-Crossed Modules and Cat2-Groups
Murat Sarikaya, Erdal Ulualan
In this paper, we describe a regular representation given by Cayley theorem for 2-crossed modules of groups and their associated Gray 3-group groupoids with a single 0-cell and equ…
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 II: Freeness Conditions for Quadratic Modules
Z. Arvasi, E. Ulualan, E. Uslu
This article investigates the homotopy theory of simplicial commutative algebras with a view to homological applications.
Homotopical Aspects of Commutative Algebras I: Freeness Conditions for Crossed Squares
Z. Arvasi, E. Ulualan
We give an alternative description of the top algebra of the free crossed square of algebras on 2-construction data in terms of tensors and coproducts of crossed modules of commuta…