Kadir Emir

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20182021

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math.CT2020

Braided Hopf Crossed Modules Through Simplicial Structures

Kadir Emir, Jan Paseka

Any simplicial Hopf algebra involves $2 n$ different projections between the Hopf algebras $H_{n}, H_{n - 1}$ for each $n \geq 1$ . The word projection, here meaning a tuple $\partial \co…

math.CT2019

The Moore Complex of a Simplicial Cocommutative Hopf Algebra

Kadir Emir

We study the Moore complex of a simplicial cocommutative Hopf algebra through Hopf kernels. The most striking result to emerge from this construction is the coherent definition of…

math.CT2018

Limits in Modified Categories of Interest

Kadir Emir, Selim Çetin

We firstly prove the completeness of the category of crossed modules in a modified category of interest. Afterwards, we define pullback crossed modules and pullback cat $^{1}$ -objects…