A Cohomology Theory for Commutative Monoids

Mathematics

Mar໚ Calvo-Cervera²  Antonio M. Cegarra¹ 

[1] Departamento de Álgebra, Universidad de Granada, 18071 Granada, Spain; E-Mail

关键词: commutative monoid;    cohomology;    simplicial set;    braided monoidal category;   

DOI  :  10.3390/math3041001

来源: mdpi

【 摘 要 】

Extending 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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.