3 citations · 3 across the 5 of their papers we have counts for
6 papers
On the Barr exactness property of
Hatice Gülsün Akay, Ummahan Ege Arslan
In this work, it is shown that the category of braided crossed modules over a fixed commutative algebra is an exact category in the sense of Barr.
Categorification of Algebras: 2-Algebras
İbrahim İlker Akça, Ummahan Ege Arslan
This paper introduces a categorification of -algebras called 2 -algebras, where k is a commutative ring. We define the 2-algebras as a 2-category with single object in which col…
The Embedding Theorem
Ummahan Ege Arslan, GÜlÜmsen Onarli
In this work, it is shown that the category XMod/P of crossed modules over fixed group P is an exact category and the complete proof of the embedding theorem of XMod/P into a set v…
Categorical Results in the Theory of Two-Crossed Modules of Commutative Algebras
Ummahan Ege Arslan, Gülümsen Onarlı
In this paper we explore some categorical results of 2-crossed module of commutative algebras extending work of Porter in [18]. We also show that the forgetful functor from the cat…
(Co)-Induced Two Crossed Modules
Ummahan Ege Arslan, Zekeriya Arvasi, Gülümsen Onarlı
We introduce the notion of an induced 2-crossed module, which extends the notion of an induced crossed module (Brown and Higgins).
Change of Base for Commutative Algebras
U. Ege Arslan, Ö. Gürmen
In this paper we examine on a pair of adjoint functors for a subcategory of the category of crossed modules over commutative algebras where $ϕ^{\ast}:\mathbf{…