Conservative algebras of 2-dimensional algebras
Ivan Kaygorodov, Artem Lopatin, Yury Popov
TL;DR
This paper investigates the structure of conservative algebras of small dimensions, focusing on derivations and subalgebras of codimension 1, to enhance understanding of their algebraic properties.
Contribution
It provides a detailed description of derivations and subalgebras of codimension 1 in 2-dimensional conservative algebras, a topic not extensively covered before.
Findings
Characterization of derivations in 2D conservative algebras
Classification of subalgebras of codimension 1
Insights into the algebraic structure of small conservative algebras
Abstract
We describe derivations and subalgebras of codimensions 1 of conservative algebras of small dimensions.
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