Pierre Grillet is an Eleritus Professor at Tulane university. He has worked mostly on semigroup theory, but also made important contributions to both cohomology theory and category theory.

Introducing Barr-exact categories and regular categories:

- Michael Barr, Pierre Grillet, Donovan van Osdol,
*Exact Categories and Categories of Sheaves*, Lec. Notes in Math.**236**, Springer 1971, (doi:10.1007/BFb0058579)

On semigroups:

- Pierre Grillet,
*Semigroups: An Introduction to the Structure Theory*- Chapman & Hall/CRC Pure and Applied Mathematics 193

Showing that ‘triple’ (Beck) cohomology for commutative semigroups can be described in concrete terms and related to commutative group coextensions:

- Pierre Grillet,
*Commutative semigroup cohomology*, Communications in Algebra, Vol. 23, Volume 23, 1995 - Issue 10.

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