25 citations · 29 across the 6 of their papers we have counts for
6 papers
Computing 3-Dimensional Groups : Crossed Squares and Cat-Groups
Zekeriya Arvasi, Alper Odabaş, Christopher D. Wensley
The category of crossed squares is equivalent to the category of cat-groups. Functions for computing with these structures have been developed in…
Computing 2-Dimensional Algebras: Crossed Modules and Cat1-Algebras
Z. Arvasi, A. Odabas
In this paper, we described the GAP implementation of crossed modules of commutative algebras and cat-algebras and their equivalence.
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…
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.