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math.CT2016★ 1 cited
On Crossed Modules in Modified Categories of Interest
Ahmet Faruk Aslan, Selim Çetin, Enver Önder Uslu
We introduce some algebraic structures such as singularity, commutators and central extension in modified categories of interest. Additionally, we introduce the cat-objects w…
math.CT2010★ 2 cited
3-Crossed Modules of Commutative Algebras
T. S. Kuzpınarı, A. Odabaş, E. Ö. Uslu
In this paper we define 3-crossed modules for commutative (Lie) algebras and investigate the relation between this construction and the simplicial algebras. Also we define the proj…
math.CT2008
Three Crossed Modules
Z. Arvasİ, T. S. Kuzpinari, E. Ö. Uslu
We introduce the notion of 3-crossed module, which extends the notions of 1-crossed module (Whitehead) and 2-crossed module (Conduché). We show that the category of 3-crossed modul…