Central extensions of filiform associative algebras
Iqboljon Karimjanov, Ivan Kaygorodov, and Manuel Ladra
TL;DR
This paper classifies all central extensions of complex null-filiform and filiform associative algebras, providing a comprehensive understanding of their structure and possible extensions.
Contribution
It offers a complete description of central extensions for a specific class of associative algebras, filling a gap in algebraic extension theory.
Findings
Classification of all central extensions up to isomorphism
Explicit descriptions of extension structures
Enhanced understanding of associative algebra extensions
Abstract
In this paper we describe central extensions (up to isomorphism) of all complex null-filiform and filiform associative algebras.
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