Background
Clay, James Ray was born on November 5, 1938 in Burley, Idaho, United States. Son of Charles Milton Clay and Dahlia LaRae Carlson.
(Although Nearrings arise naturally in various ways, most ...)
Although Nearrings arise naturally in various ways, most nearrings studied today arise as the endomorphisms of a group or cogroup object of a category. During the first half of the twentieth century, nearfields were formalized using applications to sharply transitive groups and to foundations of geometry. This book details the theoretical implications of how planar nearrings grew out of the geometric success of the planar nearfields and have found numerous applications to various branches of mathematics as well as to coding theory, cryptography, and the design of statistical families of mutually orthogonal Latin squares and constructive planes. As the author here illustrates, nearrings may lack the extra symmetry of a ring but there is often a very sophisticated elegance in their structure and, in finite circular planar nearrings, an abundance of symmetry.
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Clay, James Ray was born on November 5, 1938 in Burley, Idaho, United States. Son of Charles Milton Clay and Dahlia LaRae Carlson.
Student, United States Naval Academy Bachelor of Science in Mathematics, U. Utah, 1960; Master of Science in Mathematics, U. Washington, 1962; Doctor of Philosophy in Mathematics, U. Washington, 1966.
Assistant professor, U. Arizona, Tucson, 1966-1969;
associate professor, U. Arizona, Tucson, 1969-1974;
professor, U. Arizona, Tucson, 1974-1996;
associate head mathematics Department, University Arizona, Tucson, 1969-1972. Guest professor of University Tuebingen, Germany, 1972-1973, Kings' College, U. London, 1973, Technische U. Muenchen, Munich, Germany, 1979-1980, 87, U. Edinburgh, Scotland, 1980, U. Stellenbosch, South Africa, 1989, U. der Bundeswehr, Hamburg, Germany, 1990, National Cheng Kung U., Tainan, Taiwan, 1991, Johannes Kepler Universitaet, Linz, Austria, 1994, Klagenfurt (Austria) Universitaet, 1995. Postdoctorate director Hubert Kiechle, Technische U. Muenchen, 1991-1993.
Lecturer in field.
(Although Nearrings arise naturally in various ways, most ...)
Every human being is made in the image of God, not just spiritually and morally, but also physically.
With United States Navy, 1956-1959. Member American Mathematics Society.
Married Carol Cline Burge, June 12, 1959. Children: Thea Patricia, Christine Marie, Terri Susan.