A Galois theory for monoids : dedicated to Manuela Sobral on the occasion of her seventieth birthday
Articolo
Data di Pubblicazione:
2014
Citazione:
A Galois theory for monoids : dedicated to Manuela Sobral on the occasion of her seventieth birthday / A. Montoli, D. Rodelo, T. Van Der Linden. - In: THEORY AND APPLICATIONS OF CATEGORIES. - ISSN 1201-561X. - 29:(2014), pp. 198-214.
Abstract:
We show that the adjunction between monoids and groups obtained via the Grothendieck group construction is admissible, relatively to surjective homomorphisms, in the sense of categorical Galois theory. The central extensions with respect to this Galois structure turn out to be the so-called special homogeneous surjections.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
categorical Galois theory; central extension; Grothendieck group; group completion; homogeneous split epimorphism; special homogeneous surjection; mathematics (miscellaneous)
Elenco autori:
A. Montoli, D. Rodelo, T. Van Der Linden
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