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

I. A. Karimjanov

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

Rings and Algebras 2024-12-09 v1

Authors: I. A. Karimjanov

Abstract

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 $n>6$ .

Keywords

nilpotent associative algebras naturally graded nilindex algebra classification characteristic sequence ring theory

Cite

@article{arxiv.2412.04817,
  title  = {Naturally graded nilpotent associative algebras of nilindex $n-3$},
  author = {I. A. Karimjanov},
  journal= {arXiv preprint arXiv:2412.04817},
  year   = {2024}
}

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