Overview:
The Quillen homology of commutative monoids has been attacked as a separate study (by Grillet, Kurdiani and Pirashvili, and others), only loosely related to the Quillen homology theories for other types of algebraic systems. It turns out however to be subsumed by the theory for graded commutative algebras. Grillet's theory is an example of the graded case of Harrison cohomology.
Participants:
Nasief Khlaif, Birzeit University
Bhavya Agrawalla, MIT
top row: Bhavya Agrawalla, Haynes Miller
bottom row: Nasief Khlaif
Publication: Bhavya Agrawalla, Nasief Khlaif, and Haynes Miller, "The Andre-Quillen cohomology of commutative monoids," arXiv:2211.01536, Semigroup Forum 108 (2024) 275--299.