Complete lists of low dimensional complex associative algebras

2009/10/06 by I. S. Rakhimov, Rakhimov, I. S., I. M. Rikhsiboev +3 · 1 citation
Computer Science · Mathematics · #16B70 #16B99 #Advanced Topics in Algebra #FOS: Mathematics #Polynomial and algebraic computation #Rings and Algebras (math.RA) #math.RA #msc:16B70 #msc:16B99

paper · pdf · doi:10.48550/arxiv.0910.0932

8 pages

openalex publication_date 2009/10/06 · arxiv created 2009/10/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we present a complete classification (isomorphism classes with some isomorphism invariants) of complex associative algebras up to dimension five (including both cases: unitary and non-unitary). In some symbolic computations we used Maple software.

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• Compatible Pairs of Low-Dimensional Associative Algebras and Their Invariants

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