Search Results - "Arvasi, Z."

On classifying simplicial modules by Arvasi, Z., Ilgaz Çağlayan, E.

“…In this paper, we prove that the classifying functors W ¯ and Diag ° N are simplicially homotopy equivalent. Using this equivalency, we define classifying…”
Get full text

BRAIDED CROSSED MODULES AND REDUCED SIMPLICIAL GROUPS by Arvasi, Z., Koçak, M., Ulualan, E.

“…In this paper, we established an equivalence between the category of Braided Crossed Modules of Groups and the category of Simplicial Groups with Moore Complex…”
Get full text

Computing 3-dimensional groups: Crossed squares and cat2-groups by Arvasi, Z., Odabaş, A., Wensley, C.D.

“…The category XSq of crossed squares is equivalent to the category Cat2 of cat2-groups. Functions for computing with these structures have been developed in the…”
Get full text

Simplicial and Crossed Resolutions of Commutative Algebras by Arvasi, Z., Porter, T.

“…In this paper we investigate the relationship between simplicial and crossed resolutions of commutative algebras…”
Get full text

Computing 2-Dimensional Algebras: Crossed Modules and Cat1-Algebras by Arvasi, Z, Odabas, A

“…In this paper, we described the GAP implementation of crossed modules of commutative algebras and cat$^{1}$-algebras and their equivalence…”
Get full text

Dold-Kan Type Theorems for n-Types of Simplicitial Commutative Algebras by KOÇAK, Z. ARVASİ and M

“…A functor from simplicial algebras to crossed \( n \)-cubes is shown to be an embedding on a reflexive subcategory of the category of simplicial algebras that…”
Get full text

Homotopical Aspects of Commutative Algebras I: Freeness Conditions for Crossed Squares by Arvasi, Z, Ulualan, E

“…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…”
Get full text

A combinatorial definition of n-types of simplicial commutative algebras by KOÇAK, M, ALP, M, ARVASİ, Z

“…In this paper, we will give a description of the functor from the category of crossed . n-cubes to that of simplicial commutative algebras and study a…”
Get full text

Homotopical Aspects of Commutative Algebras by Arvasi, Z, Ulualan, E

“…This article investigates the homotopy theory of simplicial commutative algebras with a view to homological applications…”
Get full text

On Algebraic Models for Homotopy 3-Types by Arvasi, Z, Ulualan, E

“…We explore the relations among quadratic modules, 2-crossed modules, crossed squares and simplicial groups with Moore complex of length 2…”
Get full text

Homotopical Aspects of Commutative Algebras II: Freeness Conditions for Quadratic Modules by Arvasi, Z, Ulualan, E, Uslu, E

“…This article investigates the homotopy theory of simplicial commutative algebras with a view to homological applications…”
Get full text

Crossed $\Bbb{N}$-cubes and n- crossed complexes of commutitive algebras by KOÇAK, M, ARVASİ, Z

“…In this paper we will define crossed $\Bbb{N}$-cubes and n-crossed complexes of commutative algebras and construct a functor from the category of simplicial…”
Get full text

Three Crossed Modules by Arvasİ, Z, Kuzpinari, T. S, Uslu, E. Ö

“…We introduce the notion of 3-crossed module, which extends the notions of 1-crossed module (Whitehead) and 2-crossed module (Conduch\'e). We show that the…”
Get full text