3 papers
math.KT2016
Higher cohomologies of commutative monoids
Maria Calvo-Cervera, Antonio M. Cegarra
Extending Eilenberg-Mac Lane's methods, higher level cohomologies for commutative monoids are introduced and studied. Relationships with pre-existing theories (Leech, Grillet, ...)…
math.KT2016
Computability of the (co)homology of cyclic monoids
María Calvo-Cervera, Antonio M. Cegarra
Leech's (co)homology groups of finite cyclic monoids are computed.
math.KT2014
On the third cohomology group of commutative monoids
María Calvo-Cervera, Antonio M. Cegarra, Benjamín A. Heredia
We interpret Grillet's symmetric thrid cohomology classes of commutative monoids in terms of strictly symmetric monoidal abelian groupoids. We state and prove a classification resu…