paper
Computation of isotopisms of algebras over finite fields by means of graph invariants
O. J. Falcón, R. M. Falcón, J. Núñez, A. M. Pacheco, M. T. Villar
Computation of isotopisms of algebras over finite fields by means of graph invariants
O. J. Falcón, R. M. Falcón, J. Núñez, A. M. Pacheco, M. T. Villar
paper2016-09-05English
computational financearxiv
Description
In this paper we define a pair of faithful functors that map isomorphic and isotopic finite-dimensional algebras over finite fields to isomorphic graphs. These functors reduce the cost of computation that is usually required to determine whether two algebras are isomorphic. In order to illustrate their efficiency, we determine explicitly the classification of two- and three-dimensional partial quasigroup rings.
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