A Cohomology Theory for Commutative Monoids
AbstractExtending Eilenberg–Mac Lane’s cohomology of abelian groups, a cohomology theory is introduced for commutative monoids. The cohomology groups in this theory agree with the pre-existing ones by Grillet in low dimensions, but they differ beyond dimension two. A natural interpretation is given for the three-cohomology classes in terms of braided monoidal groupoids. View Full-Text
Share & Cite This Article
Calvo-Cervera, M.; Cegarra, A.M. A Cohomology Theory for Commutative Monoids. Mathematics 2015, 3, 1001-1031.
Calvo-Cervera M, Cegarra AM. A Cohomology Theory for Commutative Monoids. Mathematics. 2015; 3(4):1001-1031.Chicago/Turabian Style
Calvo-Cervera, María; Cegarra, Antonio M. 2015. "A Cohomology Theory for Commutative Monoids." Mathematics 3, no. 4: 1001-1031.