Computation of isotopisms of algebras over finite fields by means of graph invariants

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:318

Article

Falcon, O. J.¹  Falcon, R. M.²  Nunez, J.¹  Pacheco, A. M.³  Villar, M. T.¹ 

[1] Univ Seville, Dept Geometry & Topol, Seville, Spain

[2] Univ Seville, Dept Appl Math 1, Seville, Spain

[3] Loyola Univ Andalusia, Dept Quantitat Methods, Seville, Spain

关键词: Graph theory;    Finite field;    Isomorphism;    Latin square;   

DOI  :  10.1016/j.cam.2016.09.002

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free