Algebras Satisfying Polynomial Identity of Degree Six that are Principal Train
Keywords:Peirce decomposition, principal train algebra, polynomial identity, idempotent
In this paper we study the class of algebras satisfying a polynomial identity of degree six that are principal train algebras of rank $3$ or $4$, for which we give the explicit form of the train equation. If the rank of $A$ is $n\geq 5$ in general, we provide the form of the train equation in some cases.
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