Alexander duality for monomial ideals associated with isotone maps between posets

DOI10.1142/S0219498816500894zbMath1342.13011arXiv1504.01520OpenAlexW2963860428MaRDI QIDQ2801834

Akihiro Shikama, Ayesha Asloob Qureshi, Jürgen Herzog

Publication date: 22 April 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.01520

zbMATH Keywords

Alexander dualityisotone mapsletterplace ideals

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Structure, classification theorems for modules and ideals in commutative rings (13C05) Combinatorial aspects of commutative algebra (05E40)

Related Items

Algebraic properties of ideals of poset homomorphisms ⋮ Primary decomposition of ideals of lattice homomorphisms ⋮ Resolutions of letterplace ideals of posets ⋮ On the relations of isotonian algebras ⋮ Profunctors between posets and Alexander duality ⋮ Letterplace and co-letterplace ideals of posets ⋮ ISOTONIAN ALGEBRAS

Cites Work

• Letterplace and co-letterplace ideals of posets
• Monomial ideals and toric rings of Hibi type arising from a finite poset