One-generated nilpotent assosymmetric algebras
Ivan Kaygorodov, Farukh Mashurov
TL;DR
This paper classifies 5- and 6-dimensional complex one-generated nilpotent assosymmetric algebras, providing a comprehensive understanding of their structure within this specific algebraic category.
Contribution
It offers the first complete classification of these algebras for dimensions 5 and 6, expanding the knowledge of assosymmetric algebra structures.
Findings
Complete classification of 5-dimensional algebras
Complete classification of 6-dimensional algebras
Structural insights into nilpotent assosymmetric algebras
Abstract
We give the classification of - and -dimensional complex one-generated nilpotent assosymmetric algebras.
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