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Professor Jenkins has
been the director of the University of Wyoming Summer Mathematics Institute
since its inception in 1989. The institute is designed for Wyoming high
school teachers of mathematics. The two-week institute addresses timely
topics for possible inclusion in the high school curriculum. Among the topics
covered are: discrete mathematics, applications of abstract algebra, transformational
geometry, probability in the high school, linear algebra and applied matrix
theory, number theory, history of mathematics, underpinnings of calculus,
polynomials and the theory of equations, and mathematical connections. This
year, Toyota USA insured the continuation of the institutes by awarding
Dr. Jenkins a $50,000 grant. Dr. Jenkins has studied radical theory of rings. A large number of radicals are known, together with their structure theorems. It is of interest to know when radicals are hereditary, to establish equivalent conditions on hereditariness, and to study the properties of rings which make their upper radicals hereditary, special, supernilpotent, etc. |