Emil Artin

thumb|Emil Artin Emil Artin (March 3, 1898 – December 20, 1962) was an Austrian mathematician of Armenian descent. He is known for his research on modern abstract algebra, class field theory. and L-functions. Quotes The essential point in the definition of an algebra is that it is a vector space of finite dimension over a field. This fact allows us to conclude that Ascending chain condition ascending and descending chains of subalgebras will terminate. After the great success that Emmy Noether had in her ideal theory in rings with ascending chain condition, it seemed reasonable to expect that in rings where the ascending and the descending chain condition holds for left ideals one should obtain results similar to those of Joseph Wedderburn Wedderburn. As one of the papers written from this point of view we mention E. Artin, Zur Theorie der hyperkomplexen Zahlen (Abh. Math. Sem. Hamburgischen Univ. vol. 5 (1926)). In 1939 Hopkins–Levitzki theorem C. Hopkins showed (Rings with minimal condition f or left ideals, Ann. of Math. vol. 40) that the descending chain condition suffices. 1950 The influence of J. H. M. Wedderburn on the development of modern algebra Bulletin of the American Mathematical Society 56 1 65–72 https://www.ams.org/journals/bull/1950-56-01/S0002-9904-1950-09346-X/S0002-9904-1950-09346-X.pdf (quote from p. 67) Quotes about Emil Artin I think he would have made a great actor. His lectures were polished: He would finish at the right moment and march off the scene. A very lively individual with many interests: music, astronomy, chemistry, history.... He loved to teach. I had a feeling that he loved to teach anybody anything. Being his student was a wonderful experience; I couldn’t have had a better start to my mathematical career. It was a remarkable accident. My favorite theorem, which I had first learned from Bell’s book, was Gauss’s law of quadratic reciprocity, and there, entirely by chance, I found myself at the same university as the man who had discovered the Artin reciprocity ultimate law of reciprocity. It was just amazing. John Tate, as quoted by Martin Raussen and Christian Skau: Interview with Abel Laureate John Tate Notices of the AMS 58 3 March 2011 https://www.ams.org/notices/201103/rtx110300444p.pdf?version=meter+at+null&module=meter-Links&pgtype=article&contentId=&mediaId=&referrer=&priority=true&action=click&contentCollection=meter-links-click External links List of things named after Emil Artin Artin Category:1898 births Category:1962 deaths Category:Academics from Austria Category:Immigrants to the United States Category:Mathematicians from Austria Category:Princeton University faculty Category:University of Notre Dame faculty