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Finite representation of classes of isomorphic groupoids
Maxim N. Nazarov National Research University of Electronic Technology — MIET,
Bld. 1, Shokin Square, Zelenograd, Moscow, 124498, Russia
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.
Keywords:
finite groupoids, hypergraphs, automorphism classes of groupoid elements.
Received: 29.04.2015 Received in revised form: 11.05.2015 Accepted: 20.06.2015
Citation:
Maxim N. Nazarov, “Finite representation of classes of isomorphic groupoids”, J. Sib. Fed. Univ. Math. Phys., 8:3 (2015), 312–319
Linking options:
https://www.mathnet.ru/eng/jsfu433 https://www.mathnet.ru/eng/jsfu/v8/i3/p312
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Abstract page: | 416 | Full-text PDF : | 80 | References: | 32 |
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