There is a constructive method to define a structure of simple k-cyclic Post algebra of order p, L p,κ, on a given finite field F, and conversely. There exists an interpretation Ф₁ of the variety V generated by L p,κ into the variety V) generated by F and an interpretation Ф₂ of V) into V such that Ф₂Ф₁ = B for every B ϵ V and Ф₁₂ = R for every R ϵ V). In this paper we show how we (...) can solve an algebraic system of equations over an arbitrary cyclic Post algebra of order p, p prime, using the above interpretation, Gröbner bases and algorithms programmed in Maple. (shrink)

Often professors of higher education do not recognize the difference between teaching subject matter and teaching students. They emulate their former professor mentors without much analysis of the assets/liabilities of classroom behaviors. The absence of teaching methods in the teaching curriculum of college/university contributes to the problem. The following article describes a composite picture of the esteemed professorate depicted by an accumulation of life experiences, student stories, professorial reputations and caricatures. The categories of professorial type do not represent exclusivity, but (...) indeed are anticipated to overlap. The professorate needs to strive to use teaching methods which empower students to learn, just as we all strive to encourage the corporate world to empower their employees. (shrink)