On the reflectiveness of special homogeneous surjections of monoids
(2014) Categorical Methods in Algebra and Topology — ISBN: [978-972-8564-50-6], p. 237-244, published
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- Abstract
- We prove that the so-called special homogeneous surjections are reflective amongst surjective homomorphisms of monoids. To do so, we use a general result in categorical Galois theory, and the recent result that the special homogeneous surjections are the normal (= central) extensions with respect to the admissible Galois structure Γ_Mon determined by the Grothendieck group adjunction together with the classes of surjective homomorphisms.
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Montoli, A., Rodelo, D., & Van der Linden, T. (2014). On the reflectiveness of special homogeneous surjections of monoids. In Clementino, Janelidze, Picado, Sousa, Tholen (eds) (ed.), Categorical Methods in Algebra and Topology (p. p. 237-244). Departemento de Matemática da Universidade de Coimbra. https://hdl.handle.net/2078.5/63400