Semidirect products and crossed modules in monoids with operations

By N. Martins-Ferreira, A. Montoli, M. Sobral. 2013

48 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/163370d6b6882f337673376e5e39d26add76bf24