%0 Journal Article %T Delta-groupoids and ideal triangulations %A R. M. Kashaev %J Mathematics %D 2010 %I arXiv %X A Delta-groupoid is an algebraic structure which axiomatizes the combinatorics of a truncated tetrahedron. By considering two simplest examples coming from knot theory, we illustrate how can one associate a Delta-groupoid to an ideal triangulation of a three-manifold. We also describe in detail the rings associated with the Delta-groupoids of these examples. %U http://arxiv.org/abs/1001.3030v1