Irvin Cohen
Irvin Sol Cohen (1917 – February 14, 1955) was an American mathematician at the Massachusetts Institute of Technology who worked on local rings. He was a student of Oscar Zariski at Johns Hopkins University.
Irvin S. Cohen | |
|---|---|
| Born | 1917 |
| Died | 14 February 1955 |
| Nationality | American |
| Alma mater | Johns Hopkins University (Ph.D., 1942) |
| Known for | Cohen-Macaulay rings, Cohen structure theorem, Cohen-Seidenberg theorems, unmixedness theorem, Cohen rings |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Massachusetts Institute of Technology |
| Doctoral advisor | Oscar Zariski |
| Doctoral students | R. Duncan Luce |
In his thesis he proved the Cohen structure theorem for complete Noetherian local rings. In 1946 he proved the unmixedness theorem for power series rings. As a result, Cohen–Macaulay rings are named after him and Francis Sowerby Macaulay.
Cohen and Abraham Seidenberg published their Cohen–Seidenberg theorems, also known as the going-up and going-down theorems. He also coauthored articles with Irving Kaplansky. One of his doctoral students was R. Duncan Luce.
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