Three-dimensional \(\ell \)-algebras. (English) Zbl 1173.06006
It is a promising direction to classify finite-dimensional \(l\)-algebras. In the paper under review, all three-dimensional (almost) \(f\)-algebras and \(d\)-algebras are identified. It is also observed that a three-dimensional directly indecomposable \(l\)-algebra is an almost \(f\)-algebra. Some methods developed in the paper also provide some new insights into the research for the general finite-dimensional \(l\)-algebras.
Reviewer: Yichuan Yang (Beijing)
Keywords:
\(d\)-algebra; \(f\)-algebra; almost \(f\)-algebra; three-dimensional lattice-ordered algebraReferences:
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