Proceedings of the American Mathematical Society, Vol. 142, No. 6 (JUNE 2014), pp. 1911-1923 (13 pages) We investigate commutative Noetherian rings of prime characteristic such that the Frobenius ...
The object of this paper is to prove Theorem. For a ring R the following are equivalent: (i) Every cyclic right R-module is injective or projective. (ii) $R = S ...
Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space. The points could be an infinite collection of electrons ...
Concepts covered in this course include: standard functions and their graphs, limits, continuity, tangents, derivatives, the definite integral, and the fundamental theorem of calculus. Formulas for ...