nLab Barry Mitchell

Barry Mitchell (1933-2021) was an American mathematician who wrote one of the earliest books on category theory (1965).

He proved what is now known as the Freyd-Mitchell embedding theorem, which shows that any abelian category has an exact embedding into a category of modules.

• Local newspaper obituary

Selected writings

Introducing the Mitchell embedding theorem:

• Barry Mitchell, The Full Imbedding Theorem, American Journal of Mathematics 86 3 (1964) 619-637 [doi:10.2307/2373027]

On category theory:

• Barry Mitchell, Theory of categories, Pure and Applied Mathematics 17, Academic Press (1965) [ISBN:978-0-12-499250-4]

Introducing the notion of ringoids:

• Barry Mitchell: Rings with several objects, Advances in Mathematics

  8 1 (1972) 1-161 [doi:10.1016/0001-8708(72)90002-3]

See also:

• Barry Mitchell, The dominion of Isbell, Transactions of the American Mathematical Society 167 (1972) 319-331 [doi:10.2307/1996142]

Related entries

• Mitchell embedding theorem

• semicategory