On Weil algebras and Weil bundles

In this paper, we discuss Weil algebras and their application in the construction of Weil bundles. We also discuss Frobenius algebras and Vishnevsky's conjecture and prove that there exist Frobenius Weil algebras whose width is greater than one. Other properties of the Frobenius Weil algebras are indicated. A brief review of the results obtained over the past three years is given.