On Valuation Rings

Rodney Coleman (1) , Laurent Zwald (2)

1 CASC - Calcul Algébrique et Symbolique, Sécurité, Systèmes Complexes, Codes et Cryptologie
2 SVH - Statistique pour le Vivant et l’Homme

Valuation rings occur in a wide variety of situations. In this paper we bring together many basic results concerning this important class of rings. In particular, we consider the relation between valuation rings and Dedekind domains.

Domaines: Anneaux et algèbres [math.RA]; Algèbre commutative [math.AC]

Rodney Coleman, Laurent Zwald. On Valuation Rings. 2019. ⟨hal-02274823⟩