Divisor class groups of affine semigroup rings associated with distributive lattices

DOI10.1016/0021-8693(92)90021-DzbMath0759.13009MaRDI QIDQ1194041

Atsushi Noma, Takayuki Hibi, Mitsuyasu Hashimoto

Publication date: 27 September 1992

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

distributive latticedivisor class groupaffine semigroup rings

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Structure and representation theory of distributive lattices (06D05) Integral domains (13G05) Semigroup rings, multiplicative semigroups of rings (20M25) Class groups (13C20)

Related Items

Three families of toric rings arising from posets or graphs with small class groups, Ladder determinantal rings, The join-meet ideal of a finite lattice, Torsionfreeness for divisor class groups of toric rings of integral polytopes, Non-commutative crepant resolutions of Hibi rings with small class group, The Brauer group of a toric variety associated to a finite distributive lattice, Conic divisorial ideals of Hibi rings and their applications to non-commutative crepant resolutions, Generalized \(F\)-signatures of Hibi rings, Syzygies of Hibi rings, Conic divisorial ideals and non-commutative crepant resolutions of edge rings of complete multipartite graphs

Cites Work

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