@article{article_575080, title={Higher dimensional algebras as ideal maps}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={49}, pages={1865–1884}, year={2020}, DOI={10.15672/hujms.575080}, author={Odabas, Alper and Ulualan, Erdal}, keywords={crossed module, crossed square, ideal map}, abstract={In this work, we explain the close relationship between an ideal map structure $S\rightarrow End_{R}(R)$ on a homomorphism of commutative $k$-algebras $R\rightarrow S$ and an ideal simplicial algebra structure on the associated bar construction $Bar(S,R)$. We also explain this structure for crossed squares of algebras. <br />}, number={6}, publisher={Hacettepe University}