2015/06/08 by Lukas Katthän, Katthän, Lukas, Kohji Yanagawa +1
Mathematics · #Advanced Banach Space Theory #Algebraic and Geometric Analysis #Holomorphic and Operator Theory #math.AC #msc:13B22 #msc:13C05 #msc:13D07
paper · pdf · doi:10.48550/arxiv.1506.02537
6 pages. Shortened exposition and improved Theorem 4.2. To appear in Comm. Alg
arxiv created 2016/01/19 · arxiv updated 2016/01/20
In this short note, we give a characterization of domains satisfying Serre's condition (R1) in terms of their canonical modules. In the special case of toric rings, this generalizes a result of the second author (K. Yanagawa, Dualizing complexes of seminormal affine semigroup rings and toric face rings, J. Algebra 425 (2015).) where the normality is described in terms of the "shape" of the canonical module.