Carl Faith

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Carl Clifton Faith (born April 28, 1927 in Covington (Kentucky) , † 2014 ) was an American mathematician who studied algebra .

Faith studied after military service in World War II (1945/46) as an aircraft electronics technician with the US Navy mathematics at the University of Kentucky with a bachelor's degree in 1951 and at Purdue University with a master's degree in 1953 and a doctorate with Sam Perlis in 1955 (Normal Bases and Galois Theory). He was then an instructor at Michigan State University , where he became an assistant professor in 1956. In 1957 he became an assistant professor and 1960 associate professor at Penn State University and since 1962 he was a professor at Rutgers University . In 1997 he retired.

1960, 1962 (in both years he was a member), 1973/74 and 1977/78 he was at the Institute for Advanced Study and 1959/60 as a Fulbright / NATO Fellow at the University of Heidelberg. He has been visiting professor at Barcelona, ​​Tulane University, Princeton, New Mexico State University and the Technion. In 1968 he was in New Delhi on behalf of the American and Indian governments.

He dealt mainly with rings and their modules, but also with body theory, evaluations and Galois theory. He wrote monographs and textbooks on ring theory and a history of associative algebra in the 20th century.

Fonts

  • Lectures on injective modules and quotient rings, Lecture Notes in Mathematics 149, Springer 1967
  • Algebra: Rings, Modules and Categories I, II, Grundlehren der Mathematischen Wissenschaften , 190/191, Springer 1973, 1976 (corrected second edition of Volume 1 1981, also translated into Russian)
  • with James Cozzens: Simple Noetherian Rings, Cambridge UP 1975
  • Injective modules and injective quotient rings, Marcel Dekker 1982
  • with S. Page: FPF ring theory: Faithful modules and generators of Mod-R, Lecture Notes London Mathematical Society, Cambridge UP 1984
  • with P. Pillay: Classification of commutative FPF rings, Notas de Matematicas, University of Murcia 1990
  • Rings and Things and a Fine Array of Twentieth Century Associative Algebra, Surveys of the AMS 65, 1999, expanded second edition 2004

Web links

Individual evidence

  1. Carl Faith in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used