The algebraic classification of nilpotent bicommutative algebras
Kobiljon Abdurasulov, Ivan Kaygorodov, Abror Khudoyberdiyev
TL;DR
This paper provides a comprehensive algebraic classification of all complex 5-dimensional nilpotent bicommutative algebras, filling a gap in the understanding of these algebraic structures.
Contribution
It presents the first complete classification of 5-dimensional nilpotent bicommutative algebras, expanding the knowledge of their structure and properties.
Findings
Complete classification of complex 5-dimensional nilpotent bicommutative algebras
Identification of algebraic invariants distinguishing different classes
Foundation for further studies in algebraic structures
Abstract
This paper is devoted to the complete algebraic classification of complex 5-dimensional nilpotent bicommutative algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Matrix Theory and Algorithms · Algebraic structures and combinatorial models