Article ID Journal Published Year Pages File Type
4596958 Journal of Pure and Applied Algebra 2013 14 Pages PDF
Abstract

We describe actions, semidirect products and crossed modules in categories of monoids with operations. Moreover we characterize, in this context, the internal categories corresponding to crossed modules. Concrete examples in the cases of monoids, semirings and distributive lattices are given.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory