Three families of toric rings arising from posets or graphs with small class groups
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2022.107079
Abstract: The main objects of the present paper are (i) Hibi rings (toric rings arising from order polytopes of posets), (ii) stable set rings (toric rings arising from stable set polytopes of perfect graphs), and (iii)… read more here.
Keywords: small class; toric rings; class groups; posets graphs ... See more keywords
Almost Gorenstein rings arising from fiber products
Sign Up to like & getrecommendations! Published in 2020 at "Canadian Mathematical Bulletin"
DOI: 10.4153/s000843952000051x
Abstract: Abstract The purpose of this paper is, as part of the stratification of Cohen–Macaulay rings, to investigate the question of when the fiber products are almost Gorenstein rings. We show that the fiber product $R… read more here.
Keywords: fiber products; products almost; rings arising; almost gorenstein ... See more keywords