2009/08/06 by Cleto B. Miranda-Neto, Neto, Cleto B. Miranda
Computer Science · Mathematics · #13C05 #13C10 #32M25 #32S70 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Primary 13N15 #Secondary 14J10
paper · pdf · doi:10.48550/arxiv.0908.0911
openalex publication_date 2009/08/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We generalize the theory of logarithmic derivations through a self-contained study of modules here dubbed tangential idealizers. We establish reflexiveness criteria for such modules, provided the ring is a factorial domain. As a main consequence, necessary e sufficient conditions for their freeness are derived and the class of tangentially free ideals is introduced, thus extending (algebraically) the theory of free divisors proposed by K. Saito around 30 years ago.