One-generated nilpotent bicommutative algebras
Ivan Kaygorodov, Pilar P\'aez-Guill\'an, Vasily Voronin
TL;DR
This paper classifies 5- and 6-dimensional complex one-generated nilpotent bicommutative algebras, providing a comprehensive understanding of their structure in low dimensions.
Contribution
It offers the first complete classification of such algebras in dimensions 5 and 6, expanding the knowledge of nilpotent bicommutative algebra structures.
Findings
Complete classification of 5-dimensional algebras
Complete classification of 6-dimensional algebras
Structural descriptions of classified algebras
Abstract
We give a classification of - and -dimensional complex one-generated nilpotent bicommutative algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Operator Algebra Research