Degenerations of nilalgebras
Ivan Kaygorodov, Oleg Shashkov

TL;DR
This paper classifies all complex 3-dimensional nilalgebras and describes their degenerations, providing a comprehensive understanding of their structure and relationships.
Contribution
It offers the first complete classification of complex 3-dimensional nilalgebras and details their degeneration patterns.
Findings
Complete classification of complex 3-dimensional nilalgebras
Description of all degenerations within this variety
Identification of structural relationships among these algebras
Abstract
All complex -dimensional nilalgebras were described. As a corollary, all degenerations in the variety of complex -dimensional nilalgebras were obtained.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Logic · Rings, Modules, and Algebras
