Syzygies of Hibi rings

DOI10.1007/s40306-015-0117-0zbMath1365.13045arXiv1409.2445OpenAlexW1574982550MaRDI QIDQ746799

Viviana Ene

Publication date: 20 October 2015

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.2445

zbMATH Keywords

regularitydistributive latticesCohen-Macaulay ringsGorenstein algebrasHibi ringslevel algebras

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Logical aspects of lattices and related structures (03G10) Syzygies, resolutions, complexes and commutative rings (13D02) Structure theory of lattices (06B05) Algebraic aspects of posets (06A11) Combinatorial aspects of commutative algebra (05E40)

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Rees algebra and special fiber ring of binomial edge ideals of closed graphs ⋮ The first syzygy of Hibi rings associated with planar distributive lattices ⋮ Rank Bounded Hibi Subrings for Planar Distributive Lattices ⋮ Euler-Mahonian statistics and descent bases for semigroup algebras ⋮ Chain algebras of finite distributive lattices ⋮ Poset ideals of \(P\)-partitions and generalized letterplace and determinantal ideals ⋮ On the regularity of join-meet ideals of modular lattices

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