Counting Finite-Dimensional Algebras Over Finite Field

被引：0

作者：

Verhulst, Nikolaas D. ^{[1
,2
]}

机构：

[1] Delft Univ Technol, Delft Inst Appl Math, Mourik Broekmanweg 6, NL-2628 XE Delft, Netherlands

[2] Tech Univ Dresden, Inst Algebra, D-01062 Dresden, Germany

来源：

RESULTS IN MATHEMATICS | 2020年 / 75卷 / 04期

关键词：

D O I：

10.1007/s00025-020-01281-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we describe an elementary method for counting the number of non-isomorphic algebras of a fixed, finite dimension over a given finite field. We show how this method works in the case of 2-dimensional algebras over the field F-2.

引用

页数：9

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