Journal of Siberian Federal University. Mathematics & Physics / Finite Representation of Classes of Isomorphic Groupoids

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2015 8 (3)
Authors
Nazarov, Maxim N.
Contact information
Nazarov, Maxim N.:National Research University of Electronic Technology MIET Bld. 1, Shokin Square, Zelenograd, Moscow, 124498 Russia;
Keywords
finite groupoids; hypergraphs; automorphism classes of groupoid elements
Abstract

We consider an alternative representation of finite groupoids in the form of hypergraphs with three-vertex edges. Automorphism classes of vertices and edges of this hypergraphs are linearly ordered by a natural indexing algorithm based on a maxi-code for three-dimensional adjacency matrix of the hypergraph. With respect of this indexing is constructed a finite set description for the classes of isomorphic groupoids

Pages
312–319
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/19704