Crossed semimodules and cat(1)-monoids
Künye
Temel, S. (2019). Crossed semimodules and cat(1)-monoids. Korean Journal of Mathematics, 27(2), 535-545. https://doi.org/10.11568/kjm.2019.27.2.535Özet
The main idea of this paper is to introduce the notion of cat(1)-monoids and to prove that the category of crossed semimodules C = (A, B, partial derivative) where A is a group is equivalent to the category of cat(1)-monoids. This is a generalization of the well known equivalence between category of cat(1)-groups and that of crossed modules over groups.
