The classification of algebras of level one
A. Kh. Khudoyberdiyev, B. A. Omirov

TL;DR
This paper classifies all complex finite-dimensional algebras of level one, identifying a list of representative algebras such that their closures encompass all algebras of this type.
Contribution
It provides a complete classification of level one algebras up to isomorphism, filling a gap in the understanding of algebra degenerations.
Findings
Identified all level one algebras up to isomorphism
Established the closure relations among these algebras
Provided a comprehensive list of representative algebras
Abstract
In the present paper we obtain the list of algebras, up to isomorphism, such that closure of any complex finite-dimensional algebra contains one of the algebra of the given list.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras
