arXiv subjects

Hatice Gülsün Akay

Publications and source records attributed to Hatice Gülsün Akay.

2 recordsLinked to original sources

arXiv2016

Pullback Crossed Modules in the Category of Racks

In this paper, we define the pullback crossed modules in the category of racks which mainly based on a pullback diagram of rack morphisms with extra crossed module data on some of its arrows. Furthermore we prove that the conjugation functor, which is defined between the category of crossed modules of groups and of racks, preserves the pullback crossed modules.

math.AT↗

arXiv2016

On the Barr exactness property of $\mathsf{BXMod/R}$

In this work, it is shown that the category $\mathsf{BXMod/R}$ of braided crossed modules over a fixed commutative algebra $R$ is an exact category in the sense of Barr.

math.CT↗