Higher dimensional algebras as ideal maps

Authors : Alper ODABAS, Erdal ULUALAN

Pages : 1865-1884

Doi:10.15672/hujms.575080

View : 104 | Download : 7

Publication Date : 2020-12-08

Article Type : Research Paper

Abstract :In this work, we explain the close relationship between an ideal map structure $S\rightarrow End_{R}insert ignore into journalissuearticles values(R);$ on a homomorphism of commutative $k$-algebras $R\rightarrow S$ and an ideal simplicial algebra structure on the associated bar construction $Barinsert ignore into journalissuearticles values(S,R);$. We also explain this structure for crossed squares of algebras.
Keywords : crossed module, crossed square, ideal map

ORIGINAL ARTICLE URL