2013/01/21 by Kohji Yanagawa, Yanagawa, Kohji
Computer Science · Mathematics · #13D45 #13F55 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AC #msc:13D45 #msc:13F55
paper · pdf · doi:10.48550/arxiv.1301.4903
20 pages, typo corrected, more detailed proof in P.17, to appear in J. Algebra
openalex publication_date 2013/01/21 · arxiv created 2014/12/07 · arxiv updated 2014/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We characterize the seminormality of an affine semigroup ring in terms of the dualizing complex, and the normality of a Cohen-Macaulay semigroup ring by the "shape" of the canonical module. We also characterize the seminormality of a toric face ring in terms of the dualizing complex. A toric face ring is a simultaneous generalization of Stanley-Reisner rings and affine semigroups.