Twisted products of monoids

James East, Robert D. Gray, P. A. Azeef Muhammed +1

A twisting of a monoid $S$ is a map $\hat{I}¦:S\times S\to \mathbb{N}$ satisfying the identity $\hat{I}¦(a,b)+\hat{I}¦(ab,c)=\hat{I}¦(a,bc)+\hat{I}¦(b,c)$. Together with an additive commutative monoid $M$,…