Algebras Satisfying Polynomial Identity of Degree Six that are Principal Train
DOI:
https://doi.org/10.29020/nybg.ejpam.v16i3.4787Keywords:
Peirce decomposition, principal train algebra, polynomial identity, idempotentAbstract
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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