Naturally graded nilpotent associative algebras of nilindex $n-3$

Fuente: arXiv
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Autor principal: Karimjanov, I. A.
Formato: Preprint
Publicado: 2024
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author Karimjanov, I. A.
author_facet Karimjanov, I. A.
contents In the present paper, we give the classification of a subclass of n-dimensional naturally graded associative algebras with nilindex $n-3$. The subclass has the characteristic sequence $C(\mathcal{A})=(n-3,2,1)$. The result completes the classification of naturally graded associative algebras with nilindex $n-3$ for $n>6$.
format Preprint
id arxiv_https___arxiv_org_abs_2412_04817
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Naturally graded nilpotent associative algebras of nilindex $n-3$
Karimjanov, I. A.
Rings and Algebras
16S50, 16W50
In the present paper, we give the classification of a subclass of n-dimensional naturally graded associative algebras with nilindex $n-3$. The subclass has the characteristic sequence $C(\mathcal{A})=(n-3,2,1)$. The result completes the classification of naturally graded associative algebras with nilindex $n-3$ for $n>6$.
title Naturally graded nilpotent associative algebras of nilindex $n-3$
topic Rings and Algebras
16S50, 16W50
url https://arxiv.org/abs/2412.04817