Semidirect products and crossed modules in monoids with operations

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.

Bibliographic Details
Main Author: Martins-Ferreira, Nelson (author)
Other Authors: Montoli, Andrea (author), Sobral, Manuela (author)
Format: article
Language:eng
Published: 2013
Online Access:http://hdl.handle.net/10316/44047
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/44047